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107073439080 = 23356136739857
BaseRepresentation
bin110001110111000010…
…0110000010101101000
3101020101010120021111220
41203232010300111220
53223241300022310
6121104443222040
710510244133606
oct1435604602550
9336333507456
10107073439080
114145618a623
1218902817920
13a1350b965a
14527a656876
152bba20d670
hex18ee130568

107073439080 has 128 divisors (see below), whose sum is σ = 327384046080. Its totient is φ = 28007608320.

The previous prime is 107073439079. The next prime is 107073439133. The reversal of 107073439080 is 80934370701.

It is a super-2 number, since 2×1070734390802 (a number of 23 digits) contains 22 as substring.

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, 2666512 + ... + 2706368.

It is an arithmetic number, because the mean of its divisors is an integer number (2557687860).

Almost surely, 2107073439080 is an apocalyptic number.

107073439080 is a gapful number since it is divisible by the number (10) 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 107073439080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163692023040).

107073439080 is an abundant number, since it is smaller than the sum of its proper divisors (220310607000).

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

107073439080 is a wasteful number, since it uses less digits than its factorization.

107073439080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40299 (or 40295 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 107073439080 in words is "one hundred seven billion, seventy-three million, four hundred thirty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 367 488 610 732 734 915 1101 1220 1464 1468 1830 1835 2202 2440 2936 3660 3670 4404 5505 7320 7340 8808 11010 14680 22020 22387 39857 44040 44774 67161 79714 89548 111935 119571 134322 159428 179096 199285 223870 239142 268644 318856 335805 398570 447740 478284 537288 597855 671610 797140 895480 956568 1195710 1343220 1594280 2391420 2431277 2686440 4782840 4862554 7293831 9725108 12156385 14587662 14627519 19450216 24312770 29175324 29255038 36469155 43882557 48625540 58350648 58510076 72938310 73137595 87765114 97251080 117020152 145876620 146275190 175530228 219412785 291753240 292550380 351060456 438825570 585100760 877651140 892278659 1755302280 1784557318 2676835977 3569114636 4461393295 5353671954 7138229272 8922786590 10707343908 13384179885 17845573180 21414687816 26768359770 35691146360 53536719540 107073439080