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107751714816 = 212337323509
BaseRepresentation
bin110010001011010000…
…0001011000000000000
3101022010101212020220110
41210112200023000000
53231133414333231
6121300033111320
710533121315104
oct1442640130000
9338111766813
10107751714816
1141774041189
1218a719b8540
13a212790845
145302777904
152c09a3e046
hex191680b000

107751714816 has 104 divisors (see below), whose sum is σ = 288085333360. Its totient is φ = 35819421696.

The previous prime is 107751714793. The next prime is 107751714821. The reversal of 107751714816 is 618417157701.

It is a super-2 number, since 2×1077517148162 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4571670 + ... + 4595178.

Almost surely, 2107751714816 is an apocalyptic number.

107751714816 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 107751714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144042666680).

107751714816 is an abundant number, since it is smaller than the sum of its proper divisors (180333618544).

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

107751714816 is an equidigital number, since it uses as much as digits as its factorization.

107751714816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23909 (or 23887 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 48.

The spelling of 107751714816 in words is "one hundred seven billion, seven hundred fifty-one million, seven hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 373 384 512 746 768 1024 1119 1492 1536 2048 2238 2984 3072 4096 4476 5968 6144 8952 11936 12288 17904 23509 23872 35808 47018 47744 70527 71616 94036 95488 141054 143232 188072 190976 282108 286464 376144 381952 564216 572928 752288 763904 1128432 1145856 1504576 1527808 2256864 2291712 3009152 4513728 4583424 6018304 8768857 9027456 12036608 17537714 18054912 24073216 26306571 35075428 36109824 48146432 52613142 70150856 72219648 96292864 105226284 140301712 144439296 210452568 280603424 288878592 420905136 561206848 841810272 1122413696 1683620544 2244827392 3367241088 4489654784 6734482176 8979309568 13468964352 17958619136 26937928704 35917238272 53875857408 107751714816