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31373538352 = 24131730728901
BaseRepresentation
bin11101001110000000…
…100011010000110000
32222222110211212202221
4131032000203100300
51003223111211402
622225055450424
72160315450562
oct351600432060
988873755687
1031373538352
111233a5a97a2
1260b6b26a14
132c5cb0a2a0
141738a2d332
15c394e3337
hex74e023430

31373538352 has 80 divisors (see below), whose sum is σ = 69540986592. Its totient is φ = 13583462400.

The previous prime is 31373538323. The next prime is 31373538367. The reversal of 31373538352 is 25383537313.

It is a junction number, because it is equal to n+sod(n) for n = 31373538299 and 31373538308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071102 + ... + 1100002.

Almost surely, 231373538352 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 31373538352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34770493296).

31373538352 is an abundant number, since it is smaller than the sum of its proper divisors (38167448240).

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

31373538352 is a wasteful number, since it uses less digits than its factorization.

31373538352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29246 (or 29240 counting only the distinct ones).

The product of its digits is 680400, while the sum is 43.

The spelling of 31373538352 in words is "thirty-one billion, three hundred seventy-three million, five hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 307 442 614 884 1228 1768 2456 3536 3991 4912 5219 7982 10438 15964 20876 28901 31928 41752 57802 63856 67847 83504 115604 135694 231208 271388 375713 462416 491317 542776 751426 982634 1085552 1502852 1965268 3005704 3930536 6011408 6387121 7861072 8872607 12774242 17745214 25548484 35490428 51096968 70980856 102193936 115343891 141961712 150834319 230687782 301668638 461375564 603337276 922751128 1206674552 1845502256 1960846147 2413349104 3921692294 7843384588 15686769176 31373538352