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937310506112 = 2783210312
BaseRepresentation
bin11011010001111000000…
…11110100110010000000
310022121100210002011201002
431220330003310302000
5110324102442143422
61554332225031132
7124501266563201
oct15507403646200
93277323064632
10937310506112
11331569388312
121317a74854a8
136a507592c66
143351a6d75a8
15195acd56692
hexda3c0f4c80

937310506112 has 72 divisors (see below), whose sum is σ = 1891901913195. Its totient is φ = 462559717120.

The previous prime is 937310506109. The next prime is 937310506127. The reversal of 937310506112 is 211605013739.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 468655253056 + 468655253056 = 684584^2 + 684584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=684584.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 909127037 + ... + 909128067.

Almost surely, 2937310506112 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 937310506112

937310506112 is an abundant number, since it is smaller than the sum of its proper divisors (954591407083).

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

937310506112 is an frugal number, since it uses more digits than its factorization.

937310506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 937310506112 in words is "nine hundred thirty-seven billion, three hundred ten million, five hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1031 1328 2062 2656 4124 5312 6889 8248 10624 13778 16496 27556 32992 55112 65984 85573 110224 131968 171146 220448 342292 440896 684584 881792 1062961 1369168 2125922 2738336 4251844 5476672 7102559 8503688 10953344 14205118 17007376 28410236 34014752 56820472 68029504 88225763 113640944 136059008 176451526 227281888 352903052 454563776 705806104 909127552 1411612208 2823224416 5646448832 7322738329 11292897664 14645476658 29290953316 58581906632 117163813264 234327626528 468655253056 937310506112