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96946907022 = 23372314877499
BaseRepresentation
bin101101001001001111…
…1000110011110001110
3100021020101201011001000
41122102133012132032
53042021402011042
6112311540401130
710001302053540
oct1322237063616
9307211634030
1096946907022
113812a002169
12169573a61a6
1391b0129054
144999797690
1527c61a974c
hex16927c678e

96946907022 has 128 divisors (see below), whose sum is σ = 257126400000. Its totient is φ = 26473458528.

The previous prime is 96946907017. The next prime is 96946907039. The reversal of 96946907022 is 22070964969.

96946907022 is a `hidden beast` number, since 96 + 9 + 469 + 0 + 70 + 22 = 666.

It is a super-2 number, since 2×969469070222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 96946907022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12924229 + ... + 12931727.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800000).

Almost surely, 296946907022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96946907022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200000).

96946907022 is an abundant number, since it is smaller than the sum of its proper divisors (160179492978).

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

96946907022 is a wasteful number, since it uses less digits than its factorization.

96946907022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 96946907022 in words is "ninety-six billion, nine hundred forty-six million, nine hundred seven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 1487 2898 2974 4347 4461 7499 8694 8922 10409 13383 14998 20818 22497 26766 31227 34201 40149 44994 52493 62454 67491 68402 80298 93681 102603 104986 134982 157479 172477 187362 202473 205206 239407 281043 307809 314958 344954 404946 472437 478814 517431 562086 615618 718221 923427 944874 1034862 1207339 1417311 1436442 1552293 1846854 2154663 2414678 2834622 3104586 3622017 4309326 4656879 6463989 7244034 9313758 10866051 11151013 12927978 21732102 22302026 32598153 33453039 65196306 66906078 78057091 100359117 156114182 200718234 234171273 256473299 301077351 468342546 512946598 602154702 702513819 769419897 1405027638 1538839794 1795313093 2107541457 2308259691 3590626186 4215082914 4616519382 5385939279 6924779073 10771878558 13849558146 16157817837 32315635674 48473453511 96946907022