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58680954900 = 22335221733687
BaseRepresentation
bin110110101001101010…
…000101000000010100
312121110120120101001000
4312221222011000110
51430134311024100
642542504303300
74145111613111
oct665152050024
9177416511030
1058680954900
1122982961a47
12b458171b30
1356c23b4629
142ba9615908
1517d6a4e900
hexda9a85014

58680954900 has 72 divisors (see below), whose sum is σ = 188648411840. Its totient is φ = 15648253920.

The previous prime is 58680954869. The next prime is 58680954907. The reversal of 58680954900 is 945908685.

It is a happy number.

58680954900 is a `hidden beast` number, since 5 + 8 + 68 + 0 + 95 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58680954907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10864144 + ... + 10869543.

Almost surely, 258680954900 is an apocalyptic number.

58680954900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58680954900 is an abundant number, since it is smaller than the sum of its proper divisors (129967456940).

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

58680954900 is a wasteful number, since it uses less digits than its factorization.

58680954900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21733710 (or 21733697 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 58680954900 in words is "fifty-eight billion, six hundred eighty million, nine hundred fifty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 21733687 43467374 65201061 86934748 108668435 130402122 195603183 217336870 260804244 326005305 391206366 434673740 543342175 586809549 652010610 782412732 978015915 1086684350 1173619098 1304021220 1630026525 1956031830 2173368700 2347238196 2934047745 3260053050 3912063660 4890079575 5868095490 6520106100 9780159150 11736190980 14670238725 19560318300 29340477450 58680954900