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31683534064 = 24721313722691
BaseRepresentation
bin11101100000011111…
…000101110011110000
310000210002011021221121
4131200133011303300
51004341441042224
622315532032024
72201101411300
oct354037056360
9100702137847
1031683534064
11124895900a6
126182902614
132cac0c79c0
141767c85600
15c56828be4
hex7607c5cf0

31683534064 has 120 divisors (see below), whose sum is σ = 77466948048. Its totient is φ = 12442106880.

The previous prime is 31683534059. The next prime is 31683534131. The reversal of 31683534064 is 46043538613.

It is a self number, because there is not a number n which added to its sum of digits gives 31683534064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384959 + ... + 1407649.

Almost surely, 231683534064 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 31683534064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38733474024).

31683534064 is an abundant number, since it is smaller than the sum of its proper divisors (45783413984).

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

31683534064 is a wasteful number, since it uses less digits than its factorization.

31683534064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22863 (or 22850 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 31683534064 in words is "thirty-one billion, six hundred eighty-three million, five hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 137 182 196 208 274 364 392 548 637 728 784 959 1096 1274 1456 1781 1918 2192 2548 3562 3836 5096 6713 7124 7672 10192 12467 13426 14248 15344 22691 24934 26852 28496 45382 49868 53704 87269 90764 99736 107408 158837 174538 181528 199472 294983 317674 349076 363056 589966 635348 698152 1111859 1179932 1270696 1396304 2064881 2223718 2359864 2541392 3108667 4129762 4447436 4719728 6217334 8259524 8894872 12434668 14454167 16519048 17789744 21760669 24869336 28908334 33038096 40412671 43521338 49738672 57816668 80825342 87042676 115633336 152324683 161650684 174085352 231266672 282888697 304649366 323301368 348170704 565777394 609298732 646602736 1131554788 1218597464 1980220879 2263109576 2437194928 3960441758 4526219152 7920883516 15841767032 31683534064