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31386709656 = 2333311659709
BaseRepresentation
bin11101001110110010…
…110010111010011000
310000000101122001102000
4131032302302322120
51003234444202111
622230250041000
72160535426101
oct351662627230
9100011561360
1031386709656
1112346a85575
1260bb419160
132c6276c463
14173a69b3a8
15c3a745c56
hex74ecb2e98

31386709656 has 128 divisors (see below), whose sum is σ = 87721920000. Its totient is φ = 10398084480.

The previous prime is 31386709649. The next prime is 31386709661. The reversal of 31386709656 is 65690768313.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44268630 + ... + 44269338.

It is an arithmetic number, because the mean of its divisors is an integer number (685327500).

Almost surely, 231386709656 is an apocalyptic number.

31386709656 is a gapful number since it is divisible by the number (36) 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 31386709656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43860960000).

31386709656 is an abundant number, since it is smaller than the sum of its proper divisors (56335210344).

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

31386709656 is a wasteful number, since it uses less digits than its factorization.

31386709656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 31386709656 in words is "thirty-one billion, three hundred eighty-six million, seven hundred nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 311 622 659 709 933 1244 1318 1418 1866 1977 2127 2488 2636 2799 2836 3732 3954 4254 5272 5598 5672 5931 6381 7464 7908 8397 8508 11196 11862 12762 15816 16794 17016 17793 19143 22392 23724 25524 33588 35586 38286 47448 51048 67176 71172 76572 142344 153144 204949 220499 409898 440998 467231 614847 661497 819796 881996 934462 1229694 1322994 1401693 1639592 1763992 1844541 1868924 1984491 2459388 2645988 2803386 3689082 3737848 3968982 4205079 4918776 5291976 5533623 5606772 5953473 7378164 7937964 8410158 11067246 11213544 11906946 12615237 14756328 15875928 16820316 22134492 23813892 25230474 33640632 44268984 47627784 50460948 100921896 145308841 290617682 435926523 581235364 871853046 1162470728 1307779569 1743706092 2615559138 3487412184 3923338707 5231118276 7846677414 10462236552 15693354828 31386709656