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10717621317 = 3213372475773
BaseRepresentation
bin10011111101101000…
…11110110001000101
31000122221002120111200
421332310132301011
5133422202340232
64531255453113
7526410164244
oct117664366105
930587076450
1010717621317
1145aa8aa587
1220b1387199
13101a589380
147395a695b
1542adb177c
hex27ed1ec45

10717621317 has 24 divisors (see below), whose sum is σ = 17122452984. Its totient is φ = 6417201024.

The previous prime is 10717621307. The next prime is 10717621319. The reversal of 10717621317 is 71312671701.

10717621317 is a `hidden beast` number, since 1 + 0 + 7 + 17 + 621 + 3 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5445554436 + 5272066881 = 73794^2 + 72609^2 .

It is not a de Polignac number, because 10717621317 - 219 = 10717097029 is a prime.

It is a super-2 number, since 2×107176213172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10717621319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233558 + ... + 1242215.

It is an arithmetic number, because the mean of its divisors is an integer number (713435541).

Almost surely, 210717621317 is an apocalyptic number.

It is an amenable number.

10717621317 is a deficient number, since it is larger than the sum of its proper divisors (6404831667).

10717621317 is a wasteful number, since it uses less digits than its factorization.

10717621317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475829 (or 2475826 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 10717621317 in words is "ten billion, seven hundred seventeen million, six hundred twenty-one thousand, three hundred seventeen".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 2475773 7427319 22281957 32185049 91603601 96555147 274810803 289665441 824432409 1190846813 3572540439 10717621317