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12157228416 = 273127249287
BaseRepresentation
bin10110101001010000…
…01001010110000000
31011101020222012012010
423110220021112000
5144344222302131
65330203332520
7610160510424
oct132450112600
934336865163
1012157228416
115179490713
122433521140
1311b98c48a8
14834868b84
154b247bb46
hex2d4a09580

12157228416 has 64 divisors (see below), whose sum is σ = 32547041280. Its totient is φ = 4020484608.

The previous prime is 12157228361. The next prime is 12157228439. The reversal of 12157228416 is 61482275121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75876 + ... + 173411.

It is an arithmetic number, because the mean of its divisors is an integer number (508547520).

Almost surely, 212157228416 is an apocalyptic number.

12157228416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12157228416 is an abundant number, since it is smaller than the sum of its proper divisors (20389812864).

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

12157228416 is a wasteful number, since it uses less digits than its factorization.

12157228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249431 (or 249419 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The spelling of 12157228416 in words is "twelve billion, one hundred fifty-seven million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 249287 498574 747861 997148 1495722 1994296 2991444 3988592 5982888 7977184 11965776 15954368 23931552 31659449 31908736 47863104 63318898 94978347 95726208 126637796 189956694 253275592 379913388 506551184 759826776 1013102368 1519653552 2026204736 3039307104 4052409472 6078614208 12157228416