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57308503680 = 273259949393
BaseRepresentation
bin110101010111110110…
…100101111010000000
312110220221001121220100
4311113312211322000
51414331434104210
642154400042400
74066105146441
oct652766457200
9173827047810
1057308503680
112233917a03a
12b134603400
135533c6020c
142ab92352c8
1517562ec5c0
hexd57da5e80

57308503680 has 96 divisors (see below), whose sum is σ = 197893446660. Its totient is φ = 15282266112.

The previous prime is 57308503669. The next prime is 57308503691. The reversal of 57308503680 is 8630580375.

57308503680 is a `hidden beast` number, since 57 + 30 + 8 + 503 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57308503669) and next prime (57308503691).

It can be written as a sum of positive squares in 2 ways, for example, as 56647808064 + 660695616 = 238008^2 + 25704^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4968937 + ... + 4980456.

Almost surely, 257308503680 is an apocalyptic number.

It is an amenable number.

57308503680 is an abundant number, since it is smaller than the sum of its proper divisors (140584942980).

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

57308503680 is a wasteful number, since it uses less digits than its factorization.

57308503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949418 (or 9949403 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57308503680 in words is "fifty-seven billion, three hundred eight million, five hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9949393 19898786 29848179 39797572 49746965 59696358 79595144 89544537 99493930 119392716 149240895 159190288 179089074 198987860 238785432 298481790 318380576 358178148 397975720 447722685 477570864 596963580 636761152 716356296 795951440 895445370 955141728 1193927160 1273522304 1432712592 1591902880 1790890740 1910283456 2387854320 2865425184 3183805760 3581781480 3820566912 4775708640 5730850368 6367611520 7163562960 9551417280 11461700736 14327125920 19102834560 28654251840 57308503680