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72821208420 = 223251921292751
BaseRepresentation
bin100001111010001111…
…0110111010101100100
320221222000221200021100
41003310132313111210
52143114212132140
653241551120100
75155402026042
oct1036436672544
9227860850240
1072821208420
1128979745784
1212143813030
136b36a8c04c
14374b59b392
151d63139530
hex10f47b7564

72821208420 has 72 divisors (see below), whose sum is σ = 232516851840. Its totient is φ = 18396936000.

The previous prime is 72821208419. The next prime is 72821208457. The reversal of 72821208420 is 2480212827.

72821208420 is a `hidden beast` number, since 7 + 2 + 8 + 21 + 208 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10642956 + ... + 10649795.

It is an arithmetic number, because the mean of its divisors is an integer number (3229400720).

Almost surely, 272821208420 is an apocalyptic number.

It is an amenable number.

72821208420 is an abundant number, since it is smaller than the sum of its proper divisors (159695643420).

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

72821208420 is a wasteful number, since it uses less digits than its factorization.

72821208420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21292785 (or 21292780 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 72821208420 in words is "seventy-two billion, eight hundred twenty-one million, two hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 21292751 42585502 63878253 85171004 106463755 127756506 191634759 212927510 255513012 319391265 383269518 404562269 425855020 638782530 766539036 809124538 958173795 1213686807 1277565060 1618249076 1916347590 2022811345 2427373614 3641060421 3832695180 4045622690 4854747228 6068434035 7282120842 8091245380 12136868070 14564241684 18205302105 24273736140 36410604210 72821208420