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42599302272 = 273420272
BaseRepresentation
bin100111101011000111…
…011100010010000000
311001221211002202220000
4213223013130102000
51144220410133042
631323030520000
73035436044352
oct475307342200
9131854082800
1042599302272
111708021733a
12830a506000
13402b73ca47
1420c18ab0d2
151194cca74c
hex9eb1dc480

42599302272 has 120 divisors (see below), whose sum is σ = 126837407235. Its totient is φ = 14192762112.

The previous prime is 42599302267. The next prime is 42599302289. The reversal of 42599302272 is 27220399524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42599302272 is a `hidden beast` number, since 4 + 2 + 599 + 30 + 2 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21299651136 + 21299651136 = 145944^2 + 145944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145944.

It is a super-2 number, since 2×425993022722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21014923 + ... + 21016949.

Almost surely, 242599302272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42599302272

42599302272 is an abundant number, since it is smaller than the sum of its proper divisors (84238104963).

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

42599302272 is an frugal number, since it uses more digits than its factorization.

42599302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42599302272 in words is "forty-two billion, five hundred ninety-nine million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2027 2592 3456 4054 5184 6081 8108 10368 12162 16216 18243 24324 32432 36486 48648 54729 64864 72972 97296 109458 129728 145944 164187 194592 218916 259456 291888 328374 389184 437832 583776 656748 778368 875664 1167552 1313496 1751328 2335104 2626992 3502656 4108729 5253984 7005312 8217458 10507968 12326187 16434916 21015936 24652374 32869832 36978561 49304748 65739664 73957122 98609496 110935683 131479328 147914244 197218992 221871366 262958656 295828488 332807049 394437984 443742732 525917312 591656976 665614098 788875968 887485464 1183313952 1331228196 1577751936 1774970928 2366627904 2662456392 3549941856 4733255808 5324912784 7099883712 10649825568 14199767424 21299651136 42599302272