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12153073497216 = 27329237632139
BaseRepresentation
bin1011000011011001101110…
…1000001111010010000000
31121000211012120212110020020
42300312123220033102000
53043103443303402331
641503013410213440
72363013330200031
oct260663350172200
947024176773206
1012153073497216
1139660a91829a3
12144341b884280
136a2050947b42
143002d7628a88
151611e1760c96
hexb0d9ba0f480

12153073497216 has 96 divisors (see below), whose sum is σ = 33433145818800. Its totient is φ = 3911333895168.

The previous prime is 12153073497211. The next prime is 12153073497221. The reversal of 12153073497216 is 61279437035121.

It is an interprime number because it is at equal distance from previous prime (12153073497211) and next prime (12153073497221).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12153073497211) 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 11 ways as a sum of consecutive naturals, for example, 18493126 + ... + 19139013.

Almost surely, 212153073497216 is an apocalyptic number.

12153073497216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12153073497216 is an abundant number, since it is smaller than the sum of its proper divisors (21280072321584).

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

12153073497216 is an equidigital number, since it uses as much as digits as its factorization.

12153073497216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37632214 (or 37632173 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 12153073497216 in words is "twelve trillion, one hundred fifty-three billion, seventy-three million, four hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 841 928 1392 1682 1856 2523 2784 3364 3712 5046 5568 6728 10092 11136 13456 20184 26912 40368 53824 80736 107648 161472 322944 37632139 75264278 112896417 150528556 225792834 301057112 451585668 602114224 903171336 1091332031 1204228448 1806342672 2182664062 2408456896 3273996093 3612685344 4365328124 4816913792 6547992186 7225370688 8730656248 13095984372 14450741376 17461312496 26191968744 31648628899 34922624992 52383937488 63297257798 69845249984 94945886697 104767874976 126594515596 139690499968 189891773394 209535749952 253189031192 379783546788 419071499904 506378062384 759567093576 1012756124768 1519134187152 2025512249536 3038268374304 4051024499072 6076536748608 12153073497216