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10412640840 = 2335731399871
BaseRepresentation
bin10011011001010010…
…00100101001001000
3222212200012221221110
421230221010221020
5132311114001330
64441123010320
7516014662320
oct115451045110
928780187843
1010412640840
1144637341a8
1220272099a0
13c9c336654
1470ac98280
1540e21bdb0
hex26ca44a48

10412640840 has 128 divisors (see below), whose sum is σ = 36852203520. Its totient is φ = 2303251200.

The previous prime is 10412640827. The next prime is 10412640841. The reversal of 10412640840 is 4804621401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10412640798 and 10412640807.

It is not an unprimeable number, because it can be changed into a prime (10412640841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173896 + ... + 225975.

It is an arithmetic number, because the mean of its divisors is an integer number (287907840).

Almost surely, 210412640840 is an apocalyptic number.

10412640840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412640840 is an abundant number, since it is smaller than the sum of its proper divisors (26439562680).

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

10412640840 is a wasteful number, since it uses less digits than its factorization.

10412640840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399923 (or 399919 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 10412640840 in words is "ten billion, four hundred twelve million, six hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 399871 799742 1199613 1599484 1999355 2399226 2799097 3198968 3998710 4798452 5598194 5998065 7997420 8397291 9596904 11196388 11996130 12396001 13995485 15994840 16794582 22392776 23992260 24792002 27990970 33589164 37188003 41986455 47984520 49584004 55981940 61980005 67178328 74376006 83972910 86772007 99168008 111963880 123960010 148752012 167945820 173544014 185940015 247920020 260316021 297504024 335891640 347088028 371880030 433860035 495840040 520632042 694176056 743760060 867720070 1041264084 1301580105 1487520120 1735440140 2082528168 2603160210 3470880280 5206320420 10412640840