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104123083392 = 273337098123
BaseRepresentation
bin110000011111000111…
…0000010101010000000
3100221202111221200101000
41200332032002222000
53201221002132032
6115500011012000
710344160414536
oct1407616025200
9327674850330
10104123083392
1140181847739
121821a73a000
139a84a97663
14507a894156
152a961c3e7c
hex183e382a80

104123083392 has 128 divisors (see below), whose sum is σ = 307428408000. Its totient is φ = 34694065152.

The previous prime is 104123083381. The next prime is 104123083399. The reversal of 104123083392 is 293380321401.

104123083392 is a `hidden beast` number, since 1 + 0 + 4 + 12 + 308 + 339 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104123083399) 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, 12814243 + ... + 12822365.

Almost surely, 2104123083392 is an apocalyptic number.

104123083392 is a gapful number since it is divisible by the number (12) 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 104123083392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153714204000).

104123083392 is an abundant number, since it is smaller than the sum of its proper divisors (203305324608).

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

104123083392 is an equidigital number, since it uses as much as digits as its factorization.

104123083392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 104123083392 in words is "one hundred four billion, one hundred twenty-three million, eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3709 7418 8123 11127 14836 16246 22254 24369 29672 32492 33381 44508 48738 59344 64984 66762 73107 89016 97476 100143 118688 129968 133524 146214 178032 194952 200286 219321 237376 259936 267048 292428 356064 389904 400572 438642 474752 519872 534096 584856 712128 779808 801144 877284 1039744 1068192 1169712 1424256 1559616 1602288 1754568 2136384 2339424 3119232 3204576 3509136 4272768 4678848 6409152 7018272 9357696 12818304 14036544 28073088 30128207 60256414 90384621 120512828 180769242 241025656 271153863 361538484 482051312 542307726 723076968 813461589 964102624 1084615452 1446153936 1626923178 1928205248 2169230904 2892307872 3253846356 3856410496 4338461808 5784615744 6507692712 8676923616 11569231488 13015385424 17353847232 26030770848 34707694464 52061541696 104123083392