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31380058304 = 2671929127123
BaseRepresentation
bin11101001110011001…
…011011000011000000
32222222221010010110122
4131032121123003000
51003231243331204
622225451315412
72160425044310
oct351631330300
988887103418
1031380058304
1112343252291
1260b914bb68
132c61280b4a
141739849440
15c39d800be
hex74e65b0c0

31380058304 has 112 divisors (see below), whose sum is σ = 77494790400. Its totient is φ = 12301341696.

The previous prime is 31380058301. The next prime is 31380058313. The reversal of 31380058304 is 40385008313.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (31380058301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183287 + ... + 310409.

Almost surely, 231380058304 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 31380058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747395200).

31380058304 is an abundant number, since it is smaller than the sum of its proper divisors (46114732096).

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

31380058304 is a wasteful number, since it uses less digits than its factorization.

31380058304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127190 (or 127180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 31380058304 in words is "thirty-one billion, three hundred eighty million, fifty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 64 76 112 116 133 152 203 224 232 266 304 406 448 464 532 551 608 812 928 1064 1102 1216 1624 1856 2128 2204 3248 3857 4256 4408 6496 7714 8512 8816 12992 15428 17632 30856 35264 61712 123424 127123 246848 254246 508492 889861 1016984 1779722 2033968 2415337 3559444 3686567 4067936 4830674 7118888 7373134 8135872 9661348 14237776 14746268 16907359 19322696 25805969 28475552 29492536 33814718 38645392 51611938 56951104 58985072 67629436 70044773 77290784 103223876 117970144 135258872 140089546 154581568 206447752 235940288 270517744 280179092 412895504 490313411 541035488 560358184 825791008 980626822 1082070976 1120716368 1651582016 1961253644 2241432736 3922507288 4482865472 7845014576 15690029152 31380058304