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95040768312 = 23337353178067
BaseRepresentation
bin101100010000011011…
…1110000100100111000
3100002022112222021022000
41120200313300210320
53024120414041222
6111354445301000
76603125126040
oct1304067604470
9302275867260
1095040768312
1137341043a16
1216504b64760
138c68256319
144858572720
152713b879ac
hex1620df0938

95040768312 has 128 divisors (see below), whose sum is σ = 302573145600. Its totient is φ = 27077428224.

The previous prime is 95040768311. The next prime is 95040768313. The reversal of 95040768312 is 21386704059.

It is an interprime number because it is at equal distance from previous prime (95040768311) and next prime (95040768313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95040768311) 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, 444703 + ... + 622769.

It is an arithmetic number, because the mean of its divisors is an integer number (2363852700).

It is a 1-persistent number, because it is pandigital, but 2⋅95040768312 = 190081536624 is not.

Almost surely, 295040768312 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 95040768312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151286572800).

95040768312 is an abundant number, since it is smaller than the sum of its proper divisors (207532377288).

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

95040768312 is a wasteful number, since it uses less digits than its factorization.

95040768312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178442 (or 178432 counting only the distinct ones).

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

The spelling of 95040768312 in words is "ninety-five billion, forty million, seven hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 353 378 504 706 756 1059 1412 1512 2118 2471 2824 3177 4236 4942 6354 7413 8472 9531 9884 12708 14826 19062 19768 22239 25416 29652 38124 44478 59304 66717 76248 88956 133434 177912 178067 266868 356134 533736 534201 712268 1068402 1246469 1424536 1602603 2136804 2492938 3205206 3739407 4273608 4807809 4985876 6410412 7478814 9615618 9971752 11218221 12820824 14957628 19231236 22436442 29915256 33654663 38462472 44872884 62857651 67309326 89745768 125715302 134618652 188572953 251430604 269237304 377145906 440003557 502861208 565718859 754291812 880007114 1131437718 1320010671 1508583624 1697156577 1760014228 2262875436 2640021342 3394313154 3520028456 3960032013 4525750872 5280042684 6788626308 7920064026 10560085368 11880096039 13577252616 15840128052 23760192078 31680256104 47520384156 95040768312