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211047718968 = 23331777374353
BaseRepresentation
bin1100010010001101101…
…1001010000000111000
3202011202021111221212000
43010203123022000320
511424211204001333
6240542021021000
721150650004132
oct3044333120070
9664667457760
10211047718968
1181560a31a59
1234a9b554760
1316b950b38a8
14a301454052
1557532dc713
hex31236ca038

211047718968 has 128 divisors (see below), whose sum is σ = 621539956800. Its totient is φ = 66124505088.

The previous prime is 211047718961. The next prime is 211047718969. The reversal of 211047718968 is 869817740112.

211047718968 is a `hidden beast` number, since 21 + 10 + 477 + 1 + 89 + 68 = 666.

It is a super-2 number, since 2×2110477189682 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211047718961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2801280 + ... + 2875632.

Almost surely, 2211047718968 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 211047718968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310769978400).

211047718968 is an abundant number, since it is smaller than the sum of its proper divisors (410492237832).

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

211047718968 is a wasteful number, since it uses less digits than its factorization.

211047718968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75158 (or 75148 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 211047718968 in words is "two hundred eleven billion, forty-seven million, seven hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 773 918 1224 1546 1836 2319 3092 3672 4638 6184 6957 9276 13141 13914 18552 20871 26282 27828 39423 41742 52564 55656 74353 78846 83484 105128 118269 148706 157692 166968 223059 236538 297412 315384 354807 446118 473076 594824 669177 709614 892236 946152 1264001 1338354 1419228 1784472 2007531 2528002 2676708 2838456 3792003 4015062 5056004 5353416 7584006 8030124 10112008 11376009 15168012 16060248 22752018 30336024 34128027 45504036 57474869 68256054 91008072 114949738 136512108 172424607 229899476 273024216 344849214 459798952 517273821 689698428 977072773 1034547642 1379396856 1551821463 1954145546 2069095284 2931218319 3103642926 3908291092 4138190568 5862436638 6207285852 7816582184 8793654957 11724873276 12414571704 17587309914 23449746552 26380964871 35174619828 52761929742 70349239656 105523859484 211047718968