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12606049152 = 273253206467
BaseRepresentation
bin10111011110110000…
…10000101110000000
31012112112111122111100
423233120100232000
5201304122033102
65442515214400
7624250435614
oct135730205600
935475448440
1012606049152
115389871344
1225398a7400
13125b89a8a8
148782db344
154dba85a1c
hex2ef610b80

12606049152 has 96 divisors (see below), whose sum is σ = 36959836680. Its totient is φ = 4122713088.

The previous prime is 12606049103. The next prime is 12606049201. The reversal of 12606049152 is 25194060621.

12606049152 is a `hidden beast` number, since 1 + 2 + 60 + 60 + 491 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (12606049103) and next prime (12606049201).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42178 + ... + 164289.

Almost surely, 212606049152 is an apocalyptic number.

12606049152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12606049152 is an abundant number, since it is smaller than the sum of its proper divisors (24353787528).

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

12606049152 is a wasteful number, since it uses less digits than its factorization.

12606049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206540 (or 206525 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12606049152 in words is "twelve billion, six hundred six million, forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 15264 20352 30528 61056 206467 412934 619401 825868 1238802 1651736 1858203 2477604 3303472 3716406 4955208 6606944 7432812 9910416 10942751 13213888 14865624 19820832 21885502 26427776 29731248 32828253 39641664 43771004 59462496 65656506 79283328 87542008 98484759 118924992 131313012 175084016 196969518 237849984 262626024 350168032 393939036 525252048 700336064 787878072 1050504096 1400672128 1575756144 2101008192 3151512288 4202016384 6303024576 12606049152