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31071195672 = 233111915793923
BaseRepresentation
bin11100111011111111…
…001101001000011000
32222012101221021120220
4130323333031020120
51002113211230142
622135055320040
72146654543206
oct347377151030
988171837526
1031071195672
11121a4975210
126031820020
132c1229c0aa
14170a80a076
15c1cbc02ec
hex73bfcd218

31071195672 has 128 divisors (see below), whose sum is σ = 89278848000. Its totient is φ = 8912039040.

The previous prime is 31071195667. The next prime is 31071195677. The reversal of 31071195672 is 27659117013.

It is an interprime number because it is at equal distance from previous prime (31071195667) and next prime (31071195677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31071195677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7918303 + ... + 7922225.

It is an arithmetic number, because the mean of its divisors is an integer number (697491000).

Almost surely, 231071195672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31071195672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44639424000).

31071195672 is an abundant number, since it is smaller than the sum of its proper divisors (58207652328).

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

31071195672 is a wasteful number, since it uses less digits than its factorization.

31071195672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 31071195672 in words is "thirty-one billion, seventy-one million, one hundred ninety-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1579 1672 2508 3158 3923 4737 5016 6316 7846 9474 11769 12632 15692 17369 18948 23538 30001 31384 34738 37896 43153 47076 52107 60002 69476 74537 86306 90003 94152 104214 120004 129459 138952 149074 172612 180006 208428 223611 240008 258918 298148 330011 345224 360012 416856 447222 517836 596296 660022 720024 819907 894444 990033 1035672 1320044 1639814 1788888 1980066 2459721 2640088 3279628 3960132 4919442 6194417 6559256 7920264 9838884 12388834 18583251 19677768 24777668 37166502 49555336 68138587 74333004 117693923 136277174 148666008 204415761 235387846 272554348 353081769 408831522 470775692 545108696 706163538 817663044 941551384 1294633153 1412327076 1635326088 2589266306 2824654152 3883899459 5178532612 7767798918 10357065224 15535597836 31071195672