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5310472968 = 2333971132243
BaseRepresentation
bin1001111001000011…
…10110001100001000
3111201002120222102000
410330201312030020
541333440113333
62234541511000
7245412163323
oct47441661410
914632528360
105310472968
112285694a39
121042572460
136682855c8
143853dd7ba
15211333713
hex13c876308

5310472968 has 128 divisors (see below), whose sum is σ = 15041980800. Its totient is φ = 1735630848.

The previous prime is 5310472961. The next prime is 5310472969. The reversal of 5310472968 is 8692740135.

5310472968 is a `hidden beast` number, since 5 + 310 + 47 + 296 + 8 = 666.

5310472968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53104729682 = 56402246287717458048, which contains 22 as substring.

5310472968 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5310472961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366455 + ... + 2368697.

It is an arithmetic number, because the mean of its divisors is an integer number (117515475).

It is a 1-persistent number, because it is pandigital, but 2⋅5310472968 = 10620945936 is not.

Almost surely, 25310472968 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 5310472968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520990400).

5310472968 is an abundant number, since it is smaller than the sum of its proper divisors (9731507832).

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

5310472968 is a wasteful number, since it uses less digits than its factorization.

5310472968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5310472968 is about 72872.9920340863. The cubic root of 5310472968 is about 1744.6610582436.

The spelling of 5310472968 in words is "five billion, three hundred ten million, four hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 113 194 216 226 291 339 388 452 582 678 776 873 904 1017 1164 1356 1746 2034 2243 2328 2619 2712 3051 3492 4068 4486 5238 6102 6729 6984 8136 8972 10476 10961 12204 13458 17944 20187 20952 21922 24408 26916 32883 40374 43844 53832 60561 65766 80748 87688 98649 121122 131532 161496 197298 217571 242244 253459 263064 295947 394596 435142 484488 506918 591894 652713 760377 789192 870284 1013836 1183788 1305426 1520754 1740568 1958139 2027672 2281131 2367576 2610852 3041508 3916278 4562262 5221704 5874417 6083016 6843393 7832556 9124524 11748834 13686786 15665112 18249048 23497668 24585523 27373572 46995336 49171046 54747144 73756569 98342092 147513138 196684184 221269707 295026276 442539414 590052552 663809121 885078828 1327618242 1770157656 2655236484 5310472968