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16457493348 = 22321726891329
BaseRepresentation
bin11110101001111000…
…10110101101100100
31120110221200021200200
433110330112231210
5232201104241343
611321021110500
71121555246112
oct172474265544
946427607620
1016457493348
116a8590a37a
1232336b8430
1317237a785a
14b21a20ab2
15664c644d3
hex3d4f16b64

16457493348 has 36 divisors (see below), whose sum is σ = 44047998540. Its totient is φ = 5163134976.

The previous prime is 16457493341. The next prime is 16457493361. The reversal of 16457493348 is 84339475461.

16457493348 is a `hidden beast` number, since 1 + 64 + 57 + 493 + 3 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14993512704 + 1463980644 = 122448^2 + 38262^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 16457493294 and 16457493303.

It is not an unprimeable number, because it can be changed into a prime (16457493341) 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, 13445053 + ... + 13446276.

It is an arithmetic number, because the mean of its divisors is an integer number (1223555515).

Almost surely, 216457493348 is an apocalyptic number.

16457493348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16457493348 is an abundant number, since it is smaller than the sum of its proper divisors (27590505192).

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

16457493348 is a wasteful number, since it uses less digits than its factorization.

16457493348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26891356 (or 26891351 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 16457493348 in words is "sixteen billion, four hundred fifty-seven million, four hundred ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 26891329 53782658 80673987 107565316 161347974 242021961 322695948 457152593 484043922 914305186 968087844 1371457779 1828610372 2742915558 4114373337 5485831116 8228746674 16457493348