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642284179272 = 233419216572
BaseRepresentation
bin10010101100010110001…
…11101100111101001000
32021101211212222220220000
421112023013230331020
541010344222214042
61211021123003000
764255254305421
oct11261307547510
92241755886800
10642284179272
112284337472aa
12a458b809460
134874b005b28
142312dd62648
1511a9214d74c
hex958b1ecf48

642284179272 has 180 divisors, whose sum is σ = 1899804000105. Its totient is φ = 202704177024.

The previous prime is 642284179247. The next prime is 642284179289. The reversal of 642284179272 is 272971482246.

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.

642284179272 is a `hidden beast` number, since 6 + 422 + 84 + 1 + 79 + 2 + 72 = 666.

642284179272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 620354715876 + 21929463396 = 787626^2 + 148086^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=566694.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 387617868 + ... + 387619524.

Almost surely, 2642284179272 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 642284179272

642284179272 is an abundant number, since it is smaller than the sum of its proper divisors (1257519820833).

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

642284179272 is an equidigital number, since it uses as much as digits as its factorization.

642284179272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 1681 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 642284179272 in words is "six hundred forty-two billion, two hundred eighty-four million, one hundred seventy-nine thousand, two hundred seventy-two".