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10147167417 = 3171925310399
BaseRepresentation
bin10010111001101000…
…10111110010111001
3222012011200111212110
421130310113302321
5131240133324132
64354521002533
7506312333322
oct113464276271
928164614773
1010147167417
1143378a2082
121b72323449
13c59336c9a
146c3911449
153e5c7d1cc
hex25cd17cb9

10147167417 has 48 divisors (see below), whose sum is σ = 15405811200. Its totient is φ = 5917377024.

The previous prime is 10147167337. The next prime is 10147167419. The reversal of 10147167417 is 71476174101.

It is a happy number.

It is not a de Polignac number, because 10147167417 - 28 = 10147167161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10147167419) 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 47 ways as a sum of consecutive naturals, for example, 970584 + ... + 980982.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 210147167417 is an apocalyptic number.

10147167417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10147167417 is a deficient number, since it is larger than the sum of its proper divisors (5258643783).

10147167417 is a wasteful number, since it uses less digits than its factorization.

10147167417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 10147167417 in words is "ten billion, one hundred forty-seven million, one hundred sixty-seven thousand, four hundred seventeen".

Divisors: 1 3 17 19 51 53 57 159 323 361 901 969 1007 1083 2703 3021 6137 10399 17119 18411 19133 31197 51357 57399 176783 197581 325261 530349 551147 592743 975783 1653441 3358877 3754039 9369499 10076631 10471793 11262117 28108497 31415379 63818663 178020481 191455989 198964067 534061443 596892201 3382389139 10147167417