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73153673157136 = 24112132223585729
BaseRepresentation
bin10000101000100001101010…
…101100111101101000010000
3100121000102102021001021110011
4100220201222230331220100
534042022210312012021
6415330200012044304
721260115134126245
oct2050415254755020
9317012367037404
1073153673157136
1121344331426300
128255809163694
1331a8491a9ba00
14140c929ca35cc
1586cd6552bde1
hex42886ab3da10

73153673157136 has 90 divisors (see below), whose sum is σ = 168697445556570. Its totient is φ = 30693848739840.

The previous prime is 73153673157113. The next prime is 73153673157143. The reversal of 73153673157136 is 63175137635137.

It can be written as a sum of positive squares in 3 ways, for example, as 1747049497600 + 71406623659536 = 1321760^2 + 8450244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111465681 + ... + 112120048.

Almost surely, 273153673157136 is an apocalyptic number.

It is an amenable number.

73153673157136 is an abundant number, since it is smaller than the sum of its proper divisors (95543772399434).

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

73153673157136 is a wasteful number, since it uses less digits than its factorization.

73153673157136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223585785 (or 223585755 counting only the distinct ones).

The product of its digits is 25004700, while the sum is 58.

The spelling of 73153673157136 in words is "seventy-three trillion, one hundred fifty-three billion, six hundred seventy-three million, one hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 484 572 676 968 1144 1352 1573 1859 1936 2288 2704 3146 3718 6292 7436 12584 14872 20449 25168 29744 40898 81796 163592 327184 223585729 447171458 894342916 1788685832 2459443019 2906614477 3577371664 4918886038 5813228954 9837772076 11626457908 19675544152 23252915816 27053873209 31972759247 37785988201 39351088304 46505831632 54107746418 63945518494 75571976402 108215492836 127891036988 151143952804 216430985672 255782073976 302287905608 351700351717 415645870211 432861971344 511564147952 604575811216 703400703434 831291740422 1406801406868 1662583480844 2813602813736 3325166961688 4572104572321 5627205627472 6650333923376 9144209144642 18288418289284 36576836578568 73153673157136