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104525676240 = 24354367151171
BaseRepresentation
bin110000101011000110…
…1110011111011010000
3100222210120111111221020
41201112031303323100
53203032033114430
6120003551555440
710360146405606
oct1412615637320
9328716444836
10104525676240
11403690236a7
121831152bb80
139b1a30618b
1450b8131876
152abb6eab10
hex1856373ed0

104525676240 has 160 divisors (see below), whose sum is σ = 336516128256. Its totient is φ = 26818767360.

The previous prime is 104525676223. The next prime is 104525676271. The reversal of 104525676240 is 42676525401.

It is a super-4 number, since 4×1045256762404 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104525676192 and 104525676201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615855 + ... + 767025.

Almost surely, 2104525676240 is an apocalyptic number.

104525676240 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 104525676240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168258064128).

104525676240 is an abundant number, since it is smaller than the sum of its proper divisors (231990452016).

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

104525676240 is a wasteful number, since it uses less digits than its factorization.

104525676240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151297 (or 151291 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 104525676240 in words is "one hundred four billion, five hundred twenty-five million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 67 80 86 120 129 134 172 201 215 240 258 268 335 344 402 430 516 536 645 670 688 804 860 1005 1032 1072 1290 1340 1608 1720 2010 2064 2580 2680 2881 3216 3440 4020 5160 5360 5762 8040 8643 10320 11524 14405 16080 17286 23048 28810 34572 43215 46096 57620 69144 86430 115240 138288 151171 172860 230480 302342 345720 453513 604684 691440 755855 907026 1209368 1511710 1814052 2267565 2418736 3023420 3628104 4535130 6046840 6500353 7256208 9070260 10128457 12093680 13000706 18140520 19501059 20256914 26001412 30385371 32501765 36281040 39002118 40513828 50642285 52002824 60770742 65003530 78004236 81027656 97505295 101284570 104005648 121541484 130007060 151926855 156008472 162055312 195010590 202569140 243082968 260014120 303853710 312016944 390021180 405138280 435523651 486165936 520028240 607707420 780042360 810276560 871047302 1215414840 1306570953 1560084720 1742094604 2177618255 2430829680 2613141906 3484189208 4355236510 5226283812 6532854765 6968378416 8710473020 10452567624 13065709530 17420946040 20905135248 26131419060 34841892080 52262838120 104525676240