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95229022464 = 283421432
BaseRepresentation
bin101100010110000010…
…1111001000100000000
3100002210200012120110000
41120230011321010000
53030012112204324
6111425252240000
76610602223002
oct1305405710400
9302720176400
1095229022464
1137428334064
1216558010000
138c9825a204
144875578372
1527254719c9
hex162c179100

95229022464 has 135 divisors (see below), whose sum is σ = 284088279783. Its totient is φ = 31728195072.

The previous prime is 95229022457. The next prime is 95229022501. The reversal of 95229022464 is 46422092259.

The square root of 95229022464 is 308592.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44436177 + ... + 44438319.

Almost surely, 295229022464 is an apocalyptic number.

95229022464 is the 308592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95229022464

95229022464 is an abundant number, since it is smaller than the sum of its proper divisors (188859257319).

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

95229022464 is an frugal number, since it uses more digits than its factorization.

95229022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 95229022464 in words is "ninety-five billion, two hundred twenty-nine million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2143 2304 2592 3456 4286 5184 6429 6912 8572 10368 12858 17144 19287 20736 25716 34288 38574 51432 57861 68576 77148 102864 115722 137152 154296 173583 205728 231444 274304 308592 347166 411456 462888 548608 617184 694332 822912 925776 1234368 1388664 1645824 1851552 2468736 2777328 3703104 4592449 4937472 5554656 7406208 9184898 11109312 13777347 14812416 18369796 22218624 27554694 36739592 41332041 44437248 55109388 73479184 82664082 110218776 123996123 146958368 165328164 220437552 247992246 293916736 330656328 371988369 440875104 495984492 587833472 661312656 743976738 881750208 991968984 1175666944 1322625312 1487953476 1763500416 1983937968 2645250624 2975906952 3527000832 3967875936 5290501248 5951813904 7935751872 10581002496 11903627808 15871503744 23807255616 31743007488 47614511232 95229022464