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672892905984 = 2931346037321
BaseRepresentation
bin10011100101010111000…
…10101110101000000000
32101022212001201100022220
421302223202232220000
542011041040442414
61233042302131040
766420625220625
oct11625342565000
92338761640286
10672892905984
1123a410559762
12aa4b2580a80
134b5b8530940
14247d518634c
151278441aca9
hex9cab8aea00

672892905984 has 160 divisors (see below), whose sum is σ = 1931206436544. Its totient is φ = 206970716160.

The previous prime is 672892905947. The next prime is 672892906001. The reversal of 672892905984 is 489509298276.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91909044 + ... + 91916364.

Almost surely, 2672892905984 is an apocalyptic number.

672892905984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672892905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965603218272).

672892905984 is an abundant number, since it is smaller than the sum of its proper divisors (1258313530560).

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

672892905984 is a wasteful number, since it uses less digits than its factorization.

672892905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11958 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 672892905984 in words is "six hundred seventy-two billion, eight hundred ninety-two million, nine hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4603 4992 6656 7321 9206 9984 13809 14642 18412 19968 21963 27618 29284 36824 43926 55236 58568 59839 73648 87852 95173 110472 117136 119678 147296 175704 179517 190346 220944 234272 239356 285519 294592 351408 359034 380692 441888 468544 478712 571038 589184 702816 718068 761384 883776 937088 957424 1142076 1178368 1405632 1436136 1522768 1767552 1874176 1914848 2284152 2356736 2811264 2872272 3045536 3535104 3748352 3829696 4568304 5622528 5744544 6091072 7070208 7659392 9136608 11245056 11489088 12182144 15318784 18273216 22978176 24364288 30637568 33698563 36546432 45956352 48728576 67397126 73092864 91912704 101095689 134794252 146185728 202191378 269588504 404382756 438081319 539177008 808765512 876162638 1078354016 1314243957 1617531024 1752325276 2156708032 2628487914 3235062048 3504650552 4313416064 5256975828 6470124096 7009301104 8626832128 10513951656 12940248192 14018602208 17253664256 21027903312 25880496384 28037204416 42055806624 51760992768 56074408832 84111613248 112148817664 168223226496 224297635328 336446452992 672892905984