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478996070112 = 25327613895037
BaseRepresentation
bin1101111100001100110…
…00111111111011100000
31200210101001121112002100
412332012120333323200
530321440443220422
61004014152050400
746414653263220
oct6760630777340
91623331545070
10478996070112
1117516088105a
12789ba993a00
133622778b2b1
141927d88a080
15c6d6bab7ac
hex6f8663fee0

478996070112 has 144 divisors (see below), whose sum is σ = 1582257916512. Its totient is φ = 134612444160.

The previous prime is 478996070107. The next prime is 478996070129. The reversal of 478996070112 is 211070699874.

478996070112 is a `hidden beast` number, since 478 + 9 + 96 + 0 + 70 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824543 + ... + 2070494.

It is an arithmetic number, because the mean of its divisors is an integer number (10987902198).

Almost surely, 2478996070112 is an apocalyptic number.

478996070112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

478996070112 is an abundant number, since it is smaller than the sum of its proper divisors (1103261846400).

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

478996070112 is a wasteful number, since it uses less digits than its factorization.

478996070112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895121 (or 3895110 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 478996070112 in words is "four hundred seventy-eight billion, nine hundred ninety-six million, seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 488 504 549 672 732 854 976 1008 1098 1281 1464 1708 1952 2016 2196 2562 2928 3416 3843 4392 5124 5856 6832 7686 8784 10248 13664 15372 17568 20496 30744 40992 61488 122976 3895037 7790074 11685111 15580148 23370222 27265259 31160296 35055333 46740444 54530518 62320592 70110666 81795777 93480888 109061036 124641184 140221332 163591554 186961776 218122072 237597257 245387331 280442664 327183108 373923552 436244144 475194514 490774662 560885328 654366216 712791771 872488288 950389028 981549324 1121770656 1308732432 1425583542 1663180799 1900778056 1963098648 2138375313 2617464864 2851167084 3326361598 3801556112 3926197296 4276750626 4989542397 5702334168 6652723196 7603112224 7852394592 8553501252 9979084794 11404668336 13305446392 14968627191 17107002504 19958169588 22809336672 26610892784 29937254382 34214005008 39916339176 53221785568 59874508764 68428010016 79832678352 119749017528 159665356704 239498035056 478996070112