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104871938496 = 2631346191141
BaseRepresentation
bin110000110101011011…
…0101100100111000000
3101000200201001110110020
41201222312230213000
53204234204012441
6120102201333440
710401552524553
oct1415266544700
9330621043406
10104871938496
1140526525656
12183a9497280
139b73c80ca0
14510c10869a
152adbce6e66
hex186adac9c0

104871938496 has 112 divisors (see below), whose sum is σ = 299469279648. Its totient is φ = 32197939200.

The previous prime is 104871938491. The next prime is 104871938539. The reversal of 104871938496 is 694839178401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104871938491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105086 + ... + 1196226.

It is an arithmetic number, because the mean of its divisors is an integer number (2673832854).

Almost surely, 2104871938496 is an apocalyptic number.

104871938496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104871938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149734639824).

104871938496 is an abundant number, since it is smaller than the sum of its proper divisors (194597341152).

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

104871938496 is a wasteful number, since it uses less digits than its factorization.

104871938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91630 (or 91620 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 104871938496 in words is "one hundred four billion, eight hundred seventy-one million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 461 624 832 922 1248 1383 1844 2496 2766 3688 5532 5993 7376 11064 11986 14752 17979 22128 23972 29504 35958 44256 47944 71916 88512 91141 95888 143832 182282 191776 273423 287664 364564 383552 546846 575328 729128 1093692 1150656 1184833 1458256 2187384 2369666 2916512 3554499 4374768 4739332 5833024 7108998 8749536 9478664 14217996 17499072 18957328 28435992 37914656 42016001 56871984 75829312 84032002 113743968 126048003 168064004 227487936 252096006 336128008 504192012 546208013 672256016 1008384024 1092416026 1344512032 1638624039 2016768048 2184832052 2689024064 3277248078 4033536096 4369664104 6554496156 8067072192 8739328208 13108992312 17478656416 26217984624 34957312832 52435969248 104871938496