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685624093920 = 25335158709281
BaseRepresentation
bin10011111101000100110…
…00010110110011100000
32102112201022200200222000
421332202120112303200
542213124232001140
61242545451444000
7100351255432623
oct11764230266340
92375638620860
10685624093920
11244853a21687
12b0a66156600
134c86700443c
1425281d39dba
1512c7be6ea30
hex9fa2616ce0

685624093920 has 96 divisors (see below), whose sum is σ = 2399684343840. Its totient is φ = 182833090560.

The previous prime is 685624093919. The next prime is 685624093961. The reversal of 685624093920 is 29390426586.

It is a happy number.

685624093920 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 240 + 9 + 392 + 0 = 666.

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 (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 79350321 + ... + 79358960.

It is an arithmetic number, because the mean of its divisors is an integer number (24996711915).

Almost surely, 2685624093920 is an apocalyptic number.

685624093920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

685624093920 is an abundant number, since it is smaller than the sum of its proper divisors (1714060249920).

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

685624093920 is a wasteful number, since it uses less digits than its factorization.

685624093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158709305 (or 158709291 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 685624093920 in words is "six hundred eighty-five billion, six hundred twenty-four million, ninety-three thousand, nine hundred twenty".

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 158709281 317418562 476127843 634837124 793546405 952255686 1269674248 1428383529 1587092810 1904511372 2380639215 2539348496 2856767058 3174185620 3809022744 4285150587 4761278430 5078696992 5713534116 6348371240 7141917645 7618045488 8570301174 9522556860 11427068232 12696742480 14283835290 15236090976 17140602348 19045113720 21425752935 22854136464 25393484960 28567670580 34281204696 38090227440 42851505870 45708272928 57135341160 68562409392 76180454880 85703011740 114270682320 137124818784 171406023480 228541364640 342812046960 685624093920