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31972192866 = 23223535924697
BaseRepresentation
bin11101110001101100…
…001111001001100010
310001112012022200101100
4131301230033021202
51010434340132431
622404323015230
72211205104165
oct356154171142
9101465280340
1031972192866
1112617518799
12624350a516
133026b54623
141794345adc
15c71d474e6
hex771b0f262

31972192866 has 96 divisors (see below), whose sum is σ = 74900142720. Its totient is φ = 9831773952.

The previous prime is 31972192831. The next prime is 31972192907. The reversal of 31972192866 is 66829127913.

It is a super-2 number, since 2×319721928662 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282230 + ... + 1306926.

It is an arithmetic number, because the mean of its divisors is an integer number (780209820).

Almost surely, 231972192866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31972192866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37450071360).

31972192866 is an abundant number, since it is smaller than the sum of its proper divisors (42927949854).

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

31972192866 is a wasteful number, since it uses less digits than its factorization.

31972192866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24840 (or 24837 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 31972192866 in words is "thirty-one billion, nine hundred seventy-two million, one hundred ninety-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 53 59 69 106 118 138 159 177 207 318 354 414 477 531 954 1062 1219 1357 2438 2714 3127 3657 4071 6254 7314 8142 9381 10971 12213 18762 21942 24426 24697 28143 49394 56286 71921 74091 143842 148182 215763 222273 431526 444546 568031 647289 1136062 1294578 1308941 1457123 1704093 2617882 2914246 3408186 3926823 4371369 5112279 7853646 8742738 10224558 11780469 13114107 23560938 26228214 30105643 33513829 60211286 67027658 77227519 90316929 100541487 154455038 180633858 201082974 231682557 270950787 301624461 463365114 541901574 603248922 695047671 1390095342 1776232937 3552465874 5328698811 10657397622 15986096433 31972192866