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47861684555152 = 2413535038631391
BaseRepresentation
bin10101110000111101010101…
…01101001100110110010000
320021110112101002101210200011
422320132222231030312100
522233131212221231102
6245443204312204304
713036615106141206
oct1270365255146620
9207415332353604
1047861684555152
11142830321a8406
12544bab9399694
1320924505c9220
14bb6737151076
1557eed3cb32d7
hex2b87aab4cd90

47861684555152 has 80 divisors (see below), whose sum is σ = 101951792667648. Its totient is φ = 21630125237760.

The previous prime is 47861684555143. The next prime is 47861684555177. The reversal of 47861684555152 is 25155548616874.

47861684555152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229377 + ... + 9860767.

Almost surely, 247861684555152 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 47861684555152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50975896333824).

47861684555152 is an abundant number, since it is smaller than the sum of its proper divisors (54090108112496).

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

47861684555152 is a wasteful number, since it uses less digits than its factorization.

47861684555152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631968 (or 8631962 counting only the distinct ones).

The product of its digits is 322560000, while the sum is 67.

The spelling of 47861684555152 in words is "forty-seven trillion, eight hundred sixty-one billion, six hundred eighty-four million, five hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 503 689 848 1006 1378 2012 2756 4024 5512 6539 8048 11024 13078 26156 26659 52312 53318 104624 106636 213272 346567 426544 693134 1386268 2772536 5545072 8631391 17262782 34525564 69051128 112208083 138102256 224416166 448832332 457463723 897664664 914927446 1795329328 1829854892 3659709784 4341589673 5947028399 7319419568 8683179346 11894056798 17366358692 23788113596 34732717384 47576227192 56440665749 69465434768 95152454384 112881331498 225762662996 230104252669 451525325992 460208505338 903050651984 920417010676 1840834021352 2991355284697 3681668042704 5982710569394 11965421138788 23930842277576 47861684555152