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31639467420 = 223251133747417
BaseRepresentation
bin11101011101110110…
…111111010110011100
310000200000020110212200
4131131312333112130
51004244200424140
622311315331500
72200025015151
oct353566772634
9100600213780
1031639467420
1112466722190
12616bbb0b90
132ca2c39172
141762094228
15c52a22030
hex75ddbf59c

31639467420 has 144 divisors (see below), whose sum is σ = 105010764768. Its totient is φ = 7647252480.

The previous prime is 31639467403. The next prime is 31639467439. The reversal of 31639467420 is 2476493613.

31639467420 is a `hidden beast` number, since 3 + 1 + 639 + 4 + 6 + 7 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 643552 + ... + 690968.

It is an arithmetic number, because the mean of its divisors is an integer number (729241422).

Almost surely, 231639467420 is an apocalyptic number.

31639467420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31639467420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52505382384).

31639467420 is an abundant number, since it is smaller than the sum of its proper divisors (73371297348).

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

31639467420 is a wasteful number, since it uses less digits than its factorization.

31639467420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47780 (or 47775 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 31639467420 in words is "thirty-one billion, six hundred thirty-nine million, four hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 337 396 495 660 674 990 1011 1348 1685 1980 2022 3033 3370 3707 4044 5055 6066 6740 7414 10110 11121 12132 14828 15165 18535 20220 22242 30330 33363 37070 44484 47417 55605 60660 66726 74140 94834 111210 133452 142251 166815 189668 222420 237085 284502 333630 426753 474170 521587 569004 667260 711255 853506 948340 1043174 1422510 1564761 1707012 2086348 2133765 2607935 2845020 3129522 4267530 4694283 5215870 6259044 7823805 8535060 9388566 10431740 15647610 15979529 18777132 23471415 31295220 31959058 46942830 47938587 63918116 79897645 93885660 95877174 143815761 159795290 175774819 191754348 239692935 287631522 319590580 351549638 479385870 527324457 575263044 703099276 719078805 878874095 958771740 1054648914 1438157610 1581973371 1757748190 2109297828 2636622285 2876315220 3163946742 3515496380 5273244570 6327893484 7909866855 10546489140 15819733710 31639467420