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10346898016 = 257213507599
BaseRepresentation
bin10011010001011100…
…10010001001100000
3222201002111212202001
421220232102021200
5132142301214031
64430413533344
7514256116300
oct115056221140
928632455661
1010346898016
11442a610694
1220091a4254
13c8b828780
14702263600
15408582861
hex268b92260

10346898016 has 72 divisors (see below), whose sum is σ = 25519082400. Its totient is φ = 4093270272.

The previous prime is 10346897989. The next prime is 10346898053. The reversal of 10346898016 is 61089864301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233416 + ... + 274183.

It is an arithmetic number, because the mean of its divisors is an integer number (354431700).

Almost surely, 210346898016 is an apocalyptic number.

10346898016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10346898016 is an abundant number, since it is smaller than the sum of its proper divisors (15172184384).

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

10346898016 is a wasteful number, since it uses less digits than its factorization.

10346898016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507636 (or 507621 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10346898016 in words is "ten billion, three hundred forty-six million, eight hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 507599 1015198 2030396 3553193 4060792 6598787 7106386 8121584 13197574 14212772 16243168 24872351 26395148 28425544 46191509 49744702 52790296 56851088 92383018 99489404 105580592 113702176 184766036 198978808 211161184 323340563 369532072 397957616 646681126 739064144 795915232 1293362252 1478128288 2586724504 5173449008 10346898016