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10417663240 = 2351723666091
BaseRepresentation
bin10011011001111000…
…01110110100001000
3222220000200010101021
421230330032310020
5132313410210430
64441422402224
7516105451015
oct115474166410
928800603337
1010417663240
114466554646
122028a30374
13ca03a469a
1470b80470c
1540e8b007a
hex26cf0ed08

10417663240 has 64 divisors (see below), whose sum is σ = 25897656960. Its totient is φ = 3751418880.

The previous prime is 10417663219. The next prime is 10417663241. The reversal of 10417663240 is 4236671401.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10417663196 and 10417663205.

It is not an unprimeable number, because it can be changed into a prime (10417663241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317406 + ... + 348685.

It is an arithmetic number, because the mean of its divisors is an integer number (404650890).

Almost surely, 210417663240 is an apocalyptic number.

10417663240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10417663240 is an abundant number, since it is smaller than the sum of its proper divisors (15479993720).

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

10417663240 is a wasteful number, since it uses less digits than its factorization.

10417663240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666142 (or 666138 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 10417663240 in words is "ten billion, four hundred seventeen million, six hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 15640 666091 1332182 2664364 3330455 5328728 6660910 11323547 13321820 15320093 22647094 26643640 30640186 45294188 56617735 61280372 76600465 90588376 113235470 122560744 153200930 226470940 260441581 306401860 452941880 520883162 612803720 1041766324 1302207905 2083532648 2604415810 5208831620 10417663240