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216826767960132 = 223117380527279431
BaseRepresentation
bin110001010011001111101010…
…011110110110100001000100
31001102201102210021011212110110
4301103033222132312201010
5211404442210044211012
62045052501520153020
763446134304131401
oct6123175236664104
91042642707155413
10216826767960132
11630a6796940110
122039a591a68770
1393ca8a430c805
143b78685d872a8
151a1026625973c
hexc533ea7b6844

216826767960132 has 96 divisors (see below), whose sum is σ = 559492216786944. Its totient is φ = 64803974918400.

The previous prime is 216826767960109. The next prime is 216826767960133. The reversal of 216826767960132 is 231069767628612.

216826767960132 is digitally balanced in base 2 and base 4, because in such bases 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 (66).

It is not an unprimeable number, because it can be changed into a prime (216826767960133) 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, 775818457 + ... + 776097887.

It is an arithmetic number, because the mean of its divisors is an integer number (5828043924864).

Almost surely, 2216826767960132 is an apocalyptic number.

216826767960132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216826767960132 is an abundant number, since it is smaller than the sum of its proper divisors (342665448826812).

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

216826767960132 is a wasteful number, since it uses less digits than its factorization.

216826767960132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360049 (or 360047 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 216826767960132 in words is "two hundred sixteen trillion, eight hundred twenty-six billion, seven hundred sixty-seven million, nine hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 80527 161054 241581 279431 322108 483162 558862 838293 885797 966324 1117724 1676586 1771594 2657391 3073741 3353172 3543188 5314782 5878471 6147482 9221223 10629564 11756942 12294964 17635413 18442446 20398463 23513884 35270826 36884892 40796926 61195389 64663181 70541652 81593852 122390778 129326362 193989543 224383093 244781556 258652724 387979086 448766186 673149279 775958172 897532372 1346298558 2692597116 22501740137 45003480274 67505220411 90006960548 135010440822 247519141507 270020881644 495038283014 742557424521 990076566028 1485114849042 1642627030001 2970229698084 3285254060002 4927881090003 6570508120004 9855762180006 18068897330011 19711524360012 36137794660022 54206691990033 72275589320044 108413383980066 216826767960132