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104362583808 = 2837132714629
BaseRepresentation
bin110000100110001111…
…1101010011100000000
3100222101012121120011210
41201030133222130000
53202213310140213
6115535444210120
710353126216510
oct1411437523400
9328335546153
10104362583808
1140294a5996a
1218286999940
139ac25a1c92
1450a05d9840
152aac2320c3
hex184c7ea700

104362583808 has 144 divisors (see below), whose sum is σ = 317697121280. Its totient is φ = 29793374208.

The previous prime is 104362583797. The next prime is 104362583833. The reversal of 104362583808 is 808385263401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7126638 + ... + 7141266.

Almost surely, 2104362583808 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 104362583808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158848560640).

104362583808 is an abundant number, since it is smaller than the sum of its proper divisors (213334537472).

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

104362583808 is a wasteful number, since it uses less digits than its factorization.

104362583808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 104362583808 in words is "one hundred four billion, three hundred sixty-two million, five hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1327 1344 1792 2654 2688 3981 5308 5376 7962 9289 10616 14629 15924 18578 21232 27867 29258 31848 37156 42464 43887 55734 58516 63696 74312 84928 87774 102403 111468 117032 127392 148624 169856 175548 204806 222936 234064 254784 297248 307209 339712 351096 409612 445872 468128 509568 594496 614418 702192 819224 891744 936256 1019136 1188992 1228836 1404384 1638448 1783488 1872512 2377984 2457672 2808768 3276896 3566976 3745024 4915344 5617536 6553792 7133952 9830688 11235072 13107584 19412683 19661376 26215168 38825366 39322752 58238049 77650732 78645504 116476098 135888781 155301464 232952196 271777562 310602928 407666343 465904392 543555124 621205856 815332686 931808784 1087110248 1242411712 1630665372 1863617568 2174220496 2484823424 3261330744 3727235136 4348440992 4969646848 6522661488 7454470272 8696881984 13045322976 14908940544 17393763968 26090645952 34787527936 52181291904 104362583808