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313045620696 = 233318112376473
BaseRepresentation
bin1001000111000101111…
…10010001011111011000
31002221000200120020001000
410203202332101133120
520112104134330241
6355451114025000
731421363605044
oct4434276213730
91087020506030
10313045620696
11110842101206
1250806418160
132369b7b45b3
1411219985024
158222b22eb6
hex48e2f917d8

313045620696 has 128 divisors (see below), whose sum is σ = 875217470400. Its totient is φ = 103672120320.

The previous prime is 313045620577. The next prime is 313045620721. The reversal of 313045620696 is 696026540313.

313045620696 is a `hidden beast` number, since 3 + 1 + 304 + 56 + 206 + 96 = 666.

313045620696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48358516 + ... + 48364988.

Almost surely, 2313045620696 is an apocalyptic number.

313045620696 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 313045620696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437608735200).

313045620696 is an abundant number, since it is smaller than the sum of its proper divisors (562171849704).

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

313045620696 is a wasteful number, since it uses less digits than its factorization.

313045620696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 313045620696 in words is "three hundred thirteen billion, forty-five million, six hundred twenty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1237 1448 1629 2172 2474 3258 3711 4344 4887 4948 6473 6516 7422 9774 9896 11133 12946 13032 14844 19419 19548 22266 25892 29688 33399 38838 39096 44532 51784 58257 66798 77676 89064 116514 133596 155352 174771 223897 233028 267192 349542 447794 466056 671691 699084 895588 1171613 1343382 1398168 1791176 2015073 2343226 2686764 3514839 4030146 4686452 5373528 6045219 7029678 8007101 8060292 9372904 10544517 12090438 14059356 16014202 16120584 21089034 24021303 24180876 28118712 31633551 32028404 42178068 48042606 48361752 63267102 64056808 72063909 84356136 96085212 126534204 144127818 192170424 216191727 253068408 288255636 432383454 576511272 864766908 1449285281 1729533816 2898570562 4347855843 5797141124 8695711686 11594282248 13043567529 17391423372 26087135058 34782846744 39130702587 52174270116 78261405174 104348540232 156522810348 313045620696