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672011462472 = 233731612115319
BaseRepresentation
bin10011100011101110000…
…00010010011101001000
32101020120122010101010220
421301313000102131020
542002234413244342
61232415013510040
766360033116520
oct11616700223510
92336518111126
10672011462472
11239aa8a51149
12aa2a7342320
134b4a7a3362c
142475009a680
1512731d575ec
hex9c77012748

672011462472 has 128 divisors (see below), whose sum is σ = 2014461542400. Its totient is φ = 182763475200.

The previous prime is 672011462467. The next prime is 672011462477. The reversal of 672011462472 is 274264110276.

It is an interprime number because it is at equal distance from previous prime (672011462467) and next prime (672011462477).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (672011462477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739972 + ... + 1375347.

It is an arithmetic number, because the mean of its divisors is an integer number (15737980800).

Almost surely, 2672011462472 is an apocalyptic number.

672011462472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

672011462472 is an abundant number, since it is smaller than the sum of its proper divisors (1342450079928).

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

672011462472 is a wasteful number, since it uses less digits than its factorization.

672011462472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115427 (or 2115423 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 672011462472 in words is "six hundred seventy-two billion, eleven million, four hundred sixty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 61 62 84 93 122 124 168 183 186 217 244 248 366 372 427 434 488 651 732 744 854 868 1281 1302 1464 1708 1736 1891 2562 2604 3416 3782 5124 5208 5673 7564 10248 11346 13237 15128 22692 26474 39711 45384 52948 79422 105896 158844 317688 2115319 4230638 6345957 8461276 12691914 14807233 16922552 25383828 29614466 44421699 50767656 59228932 65574889 88843398 118457864 129034459 131149778 177686796 196724667 258068918 262299556 355373592 387103377 393449334 459024223 516137836 524599112 774206754 786898668 903241213 918048446 1032275672 1377072669 1548413508 1573797336 1806482426 1836096892 2709723639 2754145338 3096827016 3612964852 3672193784 4000068229 5419447278 5508290676 7225929704 8000136458 10838894556 11016581352 12000204687 16000272916 21677789112 24000409374 28000477603 32000545832 48000818748 56000955206 84001432809 96001637496 112001910412 168002865618 224003820824 336005731236 672011462472