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72297625842 = 236133814373
BaseRepresentation
bin100001101010101000…
…1100011100011110010
320220121112201221000000
41003111101203203302
52141031143011332
653114005010430
75136413452161
oct1032521434362
9226545657000
1072297625842
1128730141402
12120183b3a16
136a8246ac80
1436dbc273d8
151d321b3b7c
hex10d54638f2

72297625842 has 56 divisors (see below), whose sum is σ = 175102652844. Its totient is φ = 22245417504.

The previous prime is 72297625837. The next prime is 72297625843. The reversal of 72297625842 is 24852679227.

72297625842 is a `hidden beast` number, since 7 + 2 + 2 + 9 + 7 + 625 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51843191481 + 20454434361 = 227691^2 + 143019^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72297625843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1888233 + ... + 1926140.

Almost surely, 272297625842 is an apocalyptic number.

72297625842 is an abundant number, since it is smaller than the sum of its proper divisors (102805027002).

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

72297625842 is a wasteful number, since it uses less digits than its factorization.

72297625842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814406 (or 3814391 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 72297625842 in words is "seventy-two billion, two hundred ninety-seven million, six hundred twenty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 9477 18954 3814373 7628746 11443119 22886238 34329357 49586849 68658714 99173698 102988071 148760547 205976142 297521094 308964213 446281641 617928426 892563282 926892639 1338844923 1853785278 2677689846 2780677917 4016534769 5561355834 8033069538 12049604307 24099208614 36148812921 72297625842