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31972640073 = 31183149157499
BaseRepresentation
bin11101110001101101…
…111100010101001001
310001112020011101211120
4131301231330111021
51010434443440243
622404340345453
72211211646043
oct356155742511
9101466141746
1031972640073
11126177a3790
1262436a5289
133026c8004a
141794420a93
15c71dd4c83
hex771b7c549

31972640073 has 64 divisors (see below), whose sum is σ = 47779200000. Its totient is φ = 18856431360.

The previous prime is 31972640071. The next prime is 31972640087. The reversal of 31972640073 is 37004627913.

It is not a de Polignac number, because 31972640073 - 21 = 31972640071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31972640071) 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, 64073178 + ... + 64073676.

It is an arithmetic number, because the mean of its divisors is an integer number (746550000).

Almost surely, 231972640073 is an apocalyptic number.

31972640073 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31972640073 is a deficient number, since it is larger than the sum of its proper divisors (15806559927).

31972640073 is a wasteful number, since it uses less digits than its factorization.

31972640073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902.

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 31972640073 in words is "thirty-one billion, nine hundred seventy-two million, six hundred forty thousand, seventy-three".

Divisors: 1 3 11 33 83 149 157 249 447 471 499 913 1497 1639 1727 2739 4917 5181 5489 12367 13031 16467 23393 37101 39093 41417 70179 74351 78343 124251 136037 143341 223053 235029 257323 408111 430023 455587 771969 817861 861773 1366761 1941619 2453583 2585319 5824857 6171133 6502469 11673107 18513399 19507407 21357809 35019321 64073427 67882463 71527159 128404177 203647389 214581477 385212531 968867881 2906603643 10657546691 31972640073