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12920038768 = 2471323385811
BaseRepresentation
bin11000000100001100…
…00010010101110000
31020100102022222021101
430002012002111300
5202430012220033
65534013134144
7635112342340
oct140206022560
936312288241
1012920038768
11553003039a
122606a8a354
1312ab956170
148a7cb2d20
1550940997d
hex302182570

12920038768 has 80 divisors (see below), whose sum is σ = 32148942336. Its totient is φ = 4888984320.

The previous prime is 12920038757. The next prime is 12920038783. The reversal of 12920038768 is 86783002921.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159418 + ... + 226393.

Almost surely, 212920038768 is an apocalyptic number.

It is an amenable number.

12920038768 is an abundant number, since it is smaller than the sum of its proper divisors (19228903568).

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

12920038768 is a wasteful number, since it uses less digits than its factorization.

12920038768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385862 (or 385856 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 12920038768 in words is "twelve billion, nine hundred twenty million, thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 8372 16744 33488 385811 771622 1543244 2700677 3086488 5015543 5401354 6172976 8873653 10031086 10802708 17747306 20062172 21605416 35108801 35494612 40124344 43210832 62115571 70217602 70989224 80248688 115357489 124231142 140435204 141978448 230714978 248462284 280870408 461429956 496924568 561740816 807502423 922859912 993849136 1615004846 1845719824 3230009692 6460019384 12920038768