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108051783881616 = 2432312279432
BaseRepresentation
bin11000100100010111000100…
…001100100001001110010000
3112011120122112121012200022100
4120210113010030201032100
5103130310023133202431
61021450145415040400
731521324634660341
oct3044270414411620
9464518477180270
10108051783881616
1131479560108093
12101511ab970100
13483a316245473
141c97a3caa00c8
15c75a1c9ec4e6
hex6245c4321390

108051783881616 has 135 divisors (see below), whose sum is σ = 312475447415547. Its totient is φ = 34854166779840.

The previous prime is 108051783881597. The next prime is 108051783881617. The reversal of 108051783881616 is 616188387150801.

The square root of 108051783881616 is 10394796.

It is a perfect power (a square), and thus also a powerful number.

108051783881616 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 5 + 1 + 7 + 8 + 3 + 8 + 8 + 1 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (108051783881617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3866850141 + ... + 3866878083.

Almost surely, 2108051783881616 is an apocalyptic number.

108051783881616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108051783881616 is the 10394796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108051783881616

108051783881616 is an abundant number, since it is smaller than the sum of its proper divisors (204423663533931).

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

108051783881616 is an frugal number, since it uses more digits than its factorization.

108051783881616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55962 (or 27979 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 108051783881616 in words is "one hundred eight trillion, fifty-one billion, seven hundred eighty-three million, eight hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 17298 23064 27943 34596 46128 55886 69192 83829 111772 138384 167658 223544 251487 335316 447088 502974 670632 866233 1005948 1341264 1732466 2011896 2598699 3464932 4023792 5197398 6929864 7796097 10394796 13859728 15592194 20789592 26853223 31184388 41579184 53706446 62368776 80559669 107412892 124737552 161119338 214825784 241679007 322238676 429651568 483358014 644477352 780811249 966716028 1288954704 1561622498 1933432056 2342433747 3123244996 3866864112 4684867494 6246489992 7027301241 9369734988 12492979984 14054602482 18739469976 24205148719 28109204964 37478939952 48410297438 56218409928 72615446157 96820594876 112436819856 145230892314 193641189752 217846338471 290461784628 387282379504 435692676942 580923569256 750359610289 871385353884 1161847138512 1500719220578 1742770707768 2251078830867 3001438441156 3485541415536 4502157661734 6002876882312 6753236492601 9004315323468 12005753764624 13506472985202 18008630646936 27012945970404 36017261293872 54025891940808 108051783881616