Search a number
-
+
106431650465553 = 32726127671429859
BaseRepresentation
bin11000001100110010001100…
…101110000000011100010001
3111221211202200201100200122200
4120030302030232000130101
5102422234010004344203
61014210005241153413
731263301342110300
oct3014621456003421
9457752621320580
10106431650465553
1130a04456025176
12bb2b20048b869
1347506001011aa
141c3d4684bc437
15c487e8ae69a3
hex60cc8cb80711

106431650465553 has 72 divisors (see below), whose sum is σ = 181831658636160. Its totient is φ = 59799406887360.

The previous prime is 106431650465521. The next prime is 106431650465593. The reversal of 106431650465553 is 355564056134601.

106431650465553 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 31 + 6 + 50 + 4 + 6 + 5 + 553 = 666.

It is not a de Polignac number, because 106431650465553 - 25 = 106431650465521 is a prime.

It is a super-2 number, since 2×1064316504655532 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106431650465553.

It is not an unprimeable number, because it can be changed into a prime (106431650465593) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73720138 + ... + 75149996.

It is an arithmetic number, because the mean of its divisors is an integer number (2525439703280).

Almost surely, 2106431650465553 is an apocalyptic number.

It is an amenable number.

106431650465553 is a deficient number, since it is larger than the sum of its proper divisors (75400008170607).

106431650465553 is a wasteful number, since it uses less digits than its factorization.

106431650465553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432707 (or 1432697 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 106431650465553 in words is "one hundred six trillion, four hundred thirty-one billion, six hundred fifty million, four hundred sixty-five thousand, five hundred fifty-three".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 1281 2767 2989 3843 8301 8967 19369 24903 26901 58107 135583 168787 174321 406749 506361 1181509 1220247 1429859 1519083 3544527 4289577 8270563 10009013 10633581 12868731 24811689 30027039 70063091 74435067 87221399 90081117 210189273 261664197 610549793 630567819 784992591 1831649379 3956419853 4273848551 5494948137 11869259559 12821545653 27694938971 35607778677 38464636959 83084816913 193864572797 241341611033 249254450739 581593718391 724024833099 1689391277231 1744781155173 2172074499297 5068173831693 11825738940617 15204521495079 35477216821851 106431650465553