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96957544350 = 235219122327817
BaseRepresentation
bin101101001001100011…
…1101011011110011110
3100021021010201120201010
41122103013223132132
53042032112404400
6112313000400050
710001461346262
oct1322307533636
9307233646633
1096957544350
1138135008147
121695aa76026
1391b23b1a24
14499ad660a2
1527c70ab450
hex16931eb79e

96957544350 has 96 divisors (see below), whose sum is σ = 253326286080. Its totient is φ = 24473629440.

The previous prime is 96957544319. The next prime is 96957544373. The reversal of 96957544350 is 5344575969.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471642 + ... + 3499458.

It is an arithmetic number, because the mean of its divisors is an integer number (2638815480).

Almost surely, 296957544350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96957544350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126663143040).

96957544350 is an abundant number, since it is smaller than the sum of its proper divisors (156368741730).

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

96957544350 is a wasteful number, since it uses less digits than its factorization.

96957544350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29074 (or 29069 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 96957544350 in words is "ninety-six billion, nine hundred fifty-seven million, five hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1223 1425 2446 2850 3669 6115 7338 12230 18345 23237 27817 30575 36690 46474 55634 61150 69711 83451 91725 116185 139085 139422 166902 183450 232370 278170 348555 417255 528523 580925 695425 697110 834510 1057046 1161850 1390850 1585569 1742775 2086275 2642615 3171138 3485550 4172550 5285230 7927845 13213075 15855690 26426150 34020191 39639225 68040382 79278450 102060573 170100955 204121146 340201910 510302865 646383629 850504775 1020605730 1292767258 1701009550 1939150887 2551514325 3231918145 3878301774 5103028650 6463836290 9695754435 16159590725 19391508870 32319181450 48478772175 96957544350