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138383357186176 = 272815003769019
BaseRepresentation
bin11111011101101111100010…
…110110010001000010000000
3200010222022122002120112000221
4133131233202312101002000
5121114233103414424201
61210152234152552424
741101603411064644
oct3735574266210200
9603868562515027
10138383357186176
1140103063537473
121362b7563b2714
135c2a6577c533b
142625b0c53cc24
1510eea06c884a1
hex7ddbe2d91080

138383357186176 has 64 divisors (see below), whose sum is σ = 276722341912800. Its totient is φ = 68931574405120.

The previous prime is 138383357185963. The next prime is 138383357186177. The reversal of 138383357186176 is 671681753383831.

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

It is a super-2 number, since 2×1383833571861762 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138383357186177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179563395 + ... + 180332413.

Almost surely, 2138383357186176 is an apocalyptic number.

138383357186176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138383357186176 is a deficient number, since it is larger than the sum of its proper divisors (138338984726624).

138383357186176 is an equidigital number, since it uses as much as digits as its factorization.

138383357186176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774317 (or 774305 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 70.

The spelling of 138383357186176 in words is "one hundred thirty-eight trillion, three hundred eighty-three billion, three hundred fifty-seven million, one hundred eighty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 281 562 1124 2248 4496 5003 8992 10006 17984 20012 35968 40024 80048 160096 320192 640384 769019 1405843 1538038 2811686 3076076 5623372 6152152 11246744 12304304 22493488 24608608 44986976 49217216 89973952 98434432 179947904 216094339 432188678 864377356 1728754712 3457509424 3847402057 6915018848 7694804114 13830037696 15389608228 27660075392 30779216456 61558432912 123116865824 246233731648 492467463296 1081119978017 2162239956034 4324479912068 8648959824136 17297919648272 34595839296544 69191678593088 138383357186176