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1345697464896 = 26333019257953
BaseRepresentation
bin10011100101010001110…
…100011100001001000000
311202122110222012012021000
4103211101310130021000
5134021442022334041
62510112130532000
7166136431502121
oct23452164341100
94678428165230
101345697464896
11479786155a04
1219897b437000
1399b8b66aab5
14491bc6d2048
1525010bd4bb6
hex13951d1c240

1345697464896 has 112 divisors (see below), whose sum is σ = 3957427086400. Its totient is φ = 448415502336.

The previous prime is 1345697464823. The next prime is 1345697465017. The reversal of 1345697464896 is 6984647965431.

1345697464896 is a `hidden beast` number, since 1 + 3 + 4 + 56 + 97 + 4 + 6 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5087856 + ... + 5345808.

Almost surely, 21345697464896 is an apocalyptic number.

1345697464896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345697464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978713543200).

1345697464896 is an abundant number, since it is smaller than the sum of its proper divisors (2611729621504).

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

1345697464896 is a wasteful number, since it uses less digits than its factorization.

1345697464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260993 (or 260977 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 1345697464896 in words is "one trillion, three hundred forty-five billion, six hundred ninety-seven million, four hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3019 6038 9057 12076 18114 24152 27171 36228 48304 54342 72456 81513 96608 108684 144912 163026 193216 217368 257953 289824 326052 434736 515906 579648 652104 773859 869472 1031812 1304208 1547718 1738944 2063624 2321577 2608416 3095436 4127248 4643154 5216832 6190872 6964731 8254496 9286308 12381744 13929462 16508992 18572616 24763488 27858924 37145232 49526976 55717848 74290464 111435696 148580928 222871392 445742784 778760107 1557520214 2336280321 3115040428 4672560642 6230080856 7008840963 9345121284 12460161712 14017681926 18690242568 21026522889 24920323424 28035363852 37380485136 42053045778 49840646848 56070727704 74760970272 84106091556 112141455408 149521940544 168212183112 224282910816 336424366224 448565821632 672848732448 1345697464896