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47958994080 = 2533511101619
BaseRepresentation
bin101100101010100101…
…000010110010100000
311120210100022022212000
4230222211002302200
51241210000302310
634010531404000
73315316503114
oct545245026240
9146710268760
1047958994080
11193806690a8
129365453600
1346a3c6900a
14246d63d744
1513aa5d24c0
hexb2a942ca0

47958994080 has 96 divisors (see below), whose sum is σ = 167856494400. Its totient is φ = 12789063936.

The previous prime is 47958994079. The next prime is 47958994099. The reversal of 47958994080 is 8049985974.

47958994080 is a `hidden beast` number, since 4 + 7 + 9 + 589 + 9 + 40 + 8 + 0 = 666.

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

It is a super-2 number, since 2×479589940802 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47958993999 and 47958994017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5546490 + ... + 5555129.

It is an arithmetic number, because the mean of its divisors is an integer number (1748505150).

Almost surely, 247958994080 is an apocalyptic number.

47958994080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47958994080 is an abundant number, since it is smaller than the sum of its proper divisors (119897500320).

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

47958994080 is a wasteful number, since it uses less digits than its factorization.

47958994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101643 (or 11101629 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 47958994080 in words is "forty-seven billion, nine hundred fifty-eight million, nine hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 11101619 22203238 33304857 44406476 55508095 66609714 88812952 99914571 111016190 133219428 166524285 177625904 199829142 222032380 266438856 299743713 333048570 355251808 399658284 444064760 499572855 532877712 599487426 666097140 799316568 888129520 999145710 1065755424 1198974852 1332194280 1498718565 1598633136 1776259040 1998291420 2397949704 2664388560 2997437130 3197266272 3996582840 4795899408 5328777120 5994874260 7993165680 9591798816 11989748520 15986331360 23979497040 47958994080