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10416187912 = 231331771491
BaseRepresentation
bin10011011001101101…
…00110101000001000
3222212220220011121111
421230312212220020
5132313021003122
64441331020104
7516060064534
oct115466465010
928786804544
1010416187912
114465737169
12202843a634
13c9cca9000
1470b53cbc4
1540e6bcd77
hex26cda6a08

10416187912 has 128 divisors (see below), whose sum is σ = 22763462400. Its totient is φ = 4451865600.

The previous prime is 10416187907. The next prime is 10416187933. The reversal of 10416187912 is 21978161401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21213987 + ... + 21214477.

It is an arithmetic number, because the mean of its divisors is an integer number (177839550).

Almost surely, 210416187912 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 10416187912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381731200).

10416187912 is an abundant number, since it is smaller than the sum of its proper divisors (12347274488).

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

10416187912 is a wasteful number, since it uses less digits than its factorization.

10416187912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 10416187912 in words is "ten billion, four hundred sixteen million, one hundred eighty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 136 142 169 221 284 338 442 491 568 676 884 923 982 1207 1352 1768 1846 1964 2197 2414 2873 3692 3928 4394 4828 5746 6383 7384 8347 8788 9656 11492 11999 12766 15691 16694 17576 22984 23998 25532 31382 33388 34861 37349 47996 51064 62764 66776 69722 74698 82979 95992 108511 125528 139444 149396 155987 165958 203983 217022 278888 298792 311974 331916 407966 434044 453193 592637 623948 663832 815932 868088 906386 1078727 1185274 1247896 1410643 1631864 1812772 2157454 2370548 2651779 2821286 3625544 4314908 4741096 5303558 5642572 5891509 7704281 8629816 10607116 11285144 11783018 15408562 18338359 21214232 23566036 30817124 36676718 47132072 61634248 73353436 76589617 100155653 146706872 153179234 200311306 306358468 400622612 612716936 801245224 1302023489 2604046978 5208093956 10416187912