Search a number
-
+
39133938501952 = 267382322849213
BaseRepresentation
bin10001110010111100101001…
…00000001100100101000000
312010120011112110102110102221
420321132110200030211000
520112132301224030302
6215121514432420424
711146222322552020
oct1071362440144500
9163504473373387
1039133938501952
11115186790790a8
1244805049a7714
1318ab412142398
14994142643a80
1547ce6be92937
hex23979480c940

39133938501952 has 56 divisors (see below), whose sum is σ = 88773400645376. Its totient is φ = 16767300146688.

The previous prime is 39133938501949. The next prime is 39133938501961. The reversal of 39133938501952 is 25910583933193.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×391339385019522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711903 + ... + 13137310.

Almost surely, 239133938501952 is an apocalyptic number.

39133938501952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39133938501952 is an abundant number, since it is smaller than the sum of its proper divisors (49639462143424).

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

39133938501952 is a wasteful number, since it uses less digits than its factorization.

39133938501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22853055 (or 22853045 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 61.

The spelling of 39133938501952 in words is "thirty-nine trillion, one hundred thirty-three billion, nine hundred thirty-eight million, five hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 3823 7646 15292 26761 30584 53522 61168 107044 122336 214088 244672 428176 856352 1712704 22849213 45698426 91396852 159944491 182793704 319888982 365587408 639777964 731174816 1279555928 1462349632 2559111856 5118223712 10236447424 87352541299 174705082598 349410165196 611467789093 698820330392 1222935578186 1397640660784 2445871156372 2795281321568 4891742312744 5590562643136 9783484625488 19566969250976 39133938501952