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73949202123031 = 311071971992772053
BaseRepresentation
bin10000110100000110100011…
…111011001000100100010111
3100200211110211001010221200001
4100310012203323020210113
534143040431220414111
6421135443334432131
721401440110561364
oct2064064373104427
9320743731127601
1073949202123031
1121620753823994
128363a26202647
1332354c2673c71
1414392364dd46b
158838c60531c1
hex4341a3ec8917

73949202123031 has 64 divisors (see below), whose sum is σ = 78147331891200. Its totient is φ = 69893183162880.

The previous prime is 73949202123001. The next prime is 73949202123107. The reversal of 73949202123031 is 13032120294937.

It is a cyclic number.

It is not a de Polignac number, because 73949202123031 - 221 = 73949200025879 is a prime.

It is a super-2 number, since 2×739492021230312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73949202123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36020068201 + ... + 36020070253.

It is an arithmetic number, because the mean of its divisors is an integer number (1221052060800).

Almost surely, 273949202123031 is an apocalyptic number.

73949202123031 is a deficient number, since it is larger than the sum of its proper divisors (4198129768169).

73949202123031 is a wasteful number, since it uses less digits than its factorization.

73949202123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864.

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 73949202123031 in words is "seventy-three trillion, nine hundred forty-nine billion, two hundred two million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 31 107 197 199 277 2053 3317 6107 6169 8587 21079 21293 29639 39203 54569 55123 63643 219671 404441 408547 568681 653449 660083 918809 1215293 1691639 1708813 4194721 5838883 5898161 6809801 10859231 12537671 12664957 17629111 43275187 43714529 60848867 80483759 112030157 113167519 130036351 181005373 182842991 336636161 1161937717 1341530797 1355150399 1886314877 2494996529 3472934867 3508193089 8611762213 11987226799 12108924533 22294001243 36020069227 266964628603 371604030769 375376660523 691114038533 2385458133001 73949202123031