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10144859904 = 2834489239
BaseRepresentation
bin10010111001010111…
…00100011100000000
3222012000100021120000
421130223210130000
5131234041004104
64354355320000
7506253613014
oct113453443400
928160307500
1010144859904
114336566443
121b715b0000
13c58a098aa
146c34b0544
153e5974639
hex25cae4700

10144859904 has 90 divisors (see below), whose sum is σ = 30250198440. Its totient is φ = 3381613056.

The previous prime is 10144859899. The next prime is 10144859917. The reversal of 10144859904 is 40995844101.

It is a happy number.

10144859904 is a `hidden beast` number, since 1 + 0 + 14 + 48 + 599 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10144859904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 223884 + ... + 265355.

It is an arithmetic number, because the mean of its divisors is an integer number (336113316).

Almost surely, 210144859904 is an apocalyptic number.

It is an amenable number.

10144859904 is an abundant number, since it is smaller than the sum of its proper divisors (20105338536).

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

10144859904 is an frugal number, since it uses more digits than its factorization.

10144859904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489267 (or 489244 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10144859904 in words is "ten billion, one hundred forty-four million, eight hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 489239 978478 1467717 1956956 2935434 3913912 4403151 5870868 7827824 8806302 11741736 13209453 15655648 17612604 23483472 26418906 31311296 35225208 39628359 46966944 52837812 62622592 70450416 79256718 93933888 105675624 125245184 140900832 158513436 187867776 211351248 281801664 317026872 375735552 422702496 563603328 634053744 845404992 1127206656 1268107488 1690809984 2536214976 3381619968 5072429952 10144859904