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497191953672 = 233223236132
BaseRepresentation
bin1110011110000101111…
…00110010010100001000
31202112100011101011211200
413033002330302110020
531121222120004142
61020223513024200
750630610606351
oct7170274622410
91675304334750
10497191953672
11181948994757
12804386b5060
1337b674642bb
141a0c8306d28
15cdee35964c
hex73c2f32508

497191953672 has 108 divisors (see below), whose sum is σ = 1408042895805. Its totient is φ = 158481094464.

The previous prime is 497191953637. The next prime is 497191953673. The reversal of 497191953672 is 276359191794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

497191953672 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 91 + 9 + 536 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260289754596 + 236902199076 = 510186^2 + 486726^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=498594.

It is not an unprimeable number, because it can be changed into a prime (497191953673) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137610138 + ... + 137613750.

Almost surely, 2497191953672 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 497191953672

497191953672 is an abundant number, since it is smaller than the sum of its proper divisors (910850942133).

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

497191953672 is an equidigital number, since it uses as much as digits as its factorization.

497191953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 3641 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 497191953672 in words is "four hundred ninety-seven billion, one hundred ninety-one million, nine hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 3613 4232 4761 6348 7226 9522 10839 12696 14452 19044 21678 28904 32517 38088 43356 65034 83099 86712 130068 166198 249297 260136 332396 498594 664792 747891 997188 1495782 1911277 1994376 2991564 3822554 5733831 5983128 7645108 11467662 13053769 15290216 17201493 22935324 26107538 34402986 39161307 45870648 52215076 68805972 78322614 104430152 117483921 137611944 156645228 234967842 300236687 313290456 469935684 600473374 900710061 939871368 1200946748 1801420122 2401893496 2702130183 3602840244 5404260366 6905443801 7205680488 10808520732 13810887602 20716331403 21617041464 27621775204 41432662806 55243550408 62148994209 82865325612 124297988418 165730651224 248595976836 497191953672