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105391519383936 = 273299464037301
BaseRepresentation
bin10111111101101001100000…
…000100110100000110000000
3111211011022221012020002111110
4113331221200010310012000
5102303213312430241221
61012052110130243320
731125200045563302
oct2775514004640600
9454138835202443
10105391519383936
1130643324160725
12b9a16ba726540
1346a64ba879216
141c04d96305972
15c2b71e104776
hex5fda60134180

105391519383936 has 64 divisors (see below), whose sum is σ = 289599541441200. Its totient is φ = 33919109683200.

The previous prime is 105391519383869. The next prime is 105391519383937. The reversal of 105391519383936 is 639383915193501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1053915193839362 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105391519383937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4732007515 + ... + 4732029786.

Almost surely, 2105391519383936 is an apocalyptic number.

105391519383936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105391519383936 is an abundant number, since it is smaller than the sum of its proper divisors (184208022057264).

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

105391519383936 is an equidigital number, since it uses as much as digits as its factorization.

105391519383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464037347 (or 9464037335 counting only the distinct ones).

The product of its (nonzero) digits is 70858800, while the sum is 66.

The spelling of 105391519383936 in words is "one hundred five trillion, three hundred ninety-one billion, five hundred nineteen million, three hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 9464037301 18928074602 28392111903 37856149204 56784223806 75712298408 113568447612 151424596816 227136895224 274457081729 302849193632 454273790448 548914163458 605698387264 823371245187 908547580896 1097828326916 1211396774528 1646742490374 1817095161792 2195656653832 3293484980748 3634190323584 4391313307664 6586969961496 8782626615328 13173939922992 17565253230656 26347879845984 35130506461312 52695759691968 105391519383936