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2921688943416 = 2333611032152847
BaseRepresentation
bin101010100001000010001…
…110110100101100111000
3101100022101112012102021000
4222201002032310230320
5340332104332142131
610114112205445000
7421041114154545
oct52410216645470
911308345172230
102921688943416
11a27099270901
123b22ab870760
1318268b5a2bb9
14a15a65a5bcc
1550eee692ce6
hex2a8423b4b38

2921688943416 has 128 divisors (see below), whose sum is σ = 8328938342400. Its totient is φ = 948630061440.

The previous prime is 2921688943309. The next prime is 2921688943447. The reversal of 2921688943416 is 6143498861292.

2921688943416 is a `hidden beast` number, since 2 + 92 + 16 + 8 + 89 + 43 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280705 + ... + 2433551.

It is an arithmetic number, because the mean of its divisors is an integer number (65069830800).

Almost surely, 22921688943416 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 2921688943416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164469171200).

2921688943416 is an abundant number, since it is smaller than the sum of its proper divisors (5407249398984).

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

2921688943416 is a wasteful number, since it uses less digits than its factorization.

2921688943416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153026 (or 2153016 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 2921688943416 in words is "two trillion, nine hundred twenty-one billion, six hundred eighty-eight million, nine hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 103 108 122 183 206 216 244 309 366 412 488 549 618 732 824 927 1098 1236 1464 1647 1854 2196 2472 2781 3294 3708 4392 5562 6283 6588 7416 11124 12566 13176 18849 22248 25132 37698 50264 56547 75396 113094 150792 169641 226188 339282 452376 678564 1357128 2152847 4305694 6458541 8611388 12917082 17222776 19375623 25834164 38751246 51668328 58126869 77502492 116253738 131323667 155004984 221743241 232507476 262647334 393971001 443486482 465014952 525294668 665229723 787942002 886972964 1050589336 1181913003 1330459446 1575884004 1773945928 1995689169 2363826006 2660918892 3151768008 3545739009 3991378338 4727652012 5321837784 5987067507 7091478018 7982756676 9455304024 11974135014 13526337701 14182956036 15965513352 23948270028 27052675402 28365912072 40579013103 47896540056 54105350804 81158026206 108210701608 121737039309 162316052412 243474078618 324632104824 365211117927 486948157236 730422235854 973896314472 1460844471708 2921688943416