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200195764951212 = 223331216711550247
BaseRepresentation
bin101101100001001110110101…
…011101001001100010101100
3222020211112021001220222022000
4231201032311131021202230
5202220001411311414322
61545440355331452300
760111444453043512
oct5541166535114254
9866745231828260
10200195764951212
1158874602249728
121a553344757090
1387924c2080314
1437617534884b2
15182284080e3ac
hexb613b57498ac

200195764951212 has 144 divisors (see below), whose sum is σ = 539520400258560. Its totient is φ = 64192571189280.

The previous prime is 200195764951201. The next prime is 200195764951219. The reversal of 200195764951212 is 212159467591002.

200195764951212 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 9 + 5 + 76 + 49 + 512 + 12 = 666.

200195764951212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (200195764951219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11557473 + ... + 23107719.

It is an arithmetic number, because the mean of its divisors is an integer number (3746669446240).

Almost surely, 2200195764951212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200195764951212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269760200129280).

200195764951212 is an abundant number, since it is smaller than the sum of its proper divisors (339324635307348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200195764951212 is a wasteful number, since it uses less digits than its factorization.

200195764951212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11550489 (or 11550450 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 200195764951212 in words is "two hundred trillion, one hundred ninety-five billion, seven hundred sixty-four million, nine hundred fifty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 167 186 279 334 372 501 558 668 837 961 1002 1116 1503 1674 1922 2004 2883 3006 3348 3844 4509 5177 5766 6012 8649 9018 10354 11532 15531 17298 18036 20708 25947 31062 34596 46593 51894 62124 93186 103788 139779 160487 186372 279558 320974 481461 559116 641948 962922 1444383 1925844 2888766 4333149 5777532 8666298 11550247 17332596 23100494 34650741 46200988 69301482 103952223 138602964 207904446 311856669 358057657 415808892 623713338 716115314 1074172971 1247426676 1432230628 1928891249 2148345942 3222518913 3857782498 4296691884 5786673747 6445037826 7715564996 9667556739 11099787367 11573347494 12890075652 17360021241 19335113478 22199574734 23146694988 33299362101 34720042482 38670226956 44399149468 52080063723 59795628719 66598724202 69440084964 99898086303 104160127446 119591257438 133197448404 179386886157 199796172606 208320254892 239182514876 299694258909 358773772314 399592345212 538160658471 599388517818 717547544628 1076321316942 1198777035636 1614481975413 1853664490289 2152642633884 3228963950826 3707328980578 5560993470867 6457927901652 7414657961156 11121986941734 16682980412601 22243973883468 33365960825202 50048941237803 66731921650404 100097882475606 200195764951212