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31433036490 = 23252976915661
BaseRepresentation
bin11101010001100011…
…100001001011001010
310000010121210200212200
4131101203201023022
51003333324131430
622235023021030
72161640254542
oct352143411312
9100117720780
1031433036490
1112370147609
126112a3a776
132c6c23c99b
1417428ba322
15c3e847460
hex7518e12ca

31433036490 has 96 divisors (see below), whose sum is σ = 84659374800. Its totient is φ = 8082063360.

The previous prime is 31433036477. The next prime is 31433036513. The reversal of 31433036490 is 9463033413.

31433036490 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 3 + 0 + 3 + 649 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22726467009 + 8706569481 = 150753^2 + 93309^2 .

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, 1999260 + ... + 2014920.

Almost surely, 231433036490 is an apocalyptic number.

31433036490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31433036490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42329687400).

31433036490 is an abundant number, since it is smaller than the sum of its proper divisors (53226338310).

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

31433036490 is a wasteful number, since it uses less digits than its factorization.

31433036490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 31433036490 in words is "thirty-one billion, four hundred thirty-three million, thirty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 769 870 1305 1538 2307 2610 3845 4614 6921 7690 11535 13842 15661 22301 23070 31322 34605 44602 46983 66903 69210 78305 93966 111505 133806 140949 156610 200709 223010 234915 281898 334515 401418 454169 469830 669030 704745 908338 1003545 1362507 1409490 2007090 2270845 2725014 4087521 4541690 6812535 8175042 12043309 13625070 20437605 24086618 36129927 40875210 60216545 72259854 108389781 120433090 180649635 216779562 349255961 361299270 541948905 698511922 1047767883 1083897810 1746279805 2095535766 3143303649 3492559610 5238839415 6286607298 10477678830 15716518245 31433036490