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113252673520 = 2457853237089
BaseRepresentation
bin110100101111001100…
…0101010011111110000
3101211022202212220121201
41221132120222133300
53323420141023040
6124005541500544
711116335561430
oct1513630523760
9354282786551
10113252673520
11440371aa948
1219b48111754
13a8ab34b9ac
1456a51a02c0
152e2c94ca9a
hex1a5e62a7f0

113252673520 has 80 divisors (see below), whose sum is σ = 301282591680. Its totient is φ = 38783803392.

The previous prime is 113252673511. The next prime is 113252673529. The reversal of 113252673520 is 25376252311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113252673511) and next prime (113252673529).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 113252673520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113252673529) 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, 359136 + ... + 596224.

It is an arithmetic number, because the mean of its divisors is an integer number (3766032396).

Almost surely, 2113252673520 is an apocalyptic number.

113252673520 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 113252673520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150641295840).

113252673520 is an abundant number, since it is smaller than the sum of its proper divisors (188029918160).

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

113252673520 is a wasteful number, since it uses less digits than its factorization.

113252673520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237962 (or 237956 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 113252673520 in words is "one hundred thirteen billion, two hundred fifty-two million, six hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 853 1706 3412 4265 5971 6824 8530 11942 13648 17060 23884 29855 34120 47768 59710 68240 95536 119420 237089 238840 474178 477680 948356 1185445 1659623 1896712 2370890 3319246 3793424 4741780 6638492 8298115 9483560 13276984 16596230 18967120 26553968 33192460 66384920 132769840 202236917 404473834 808947668 1011184585 1415658419 1617895336 2022369170 2831316838 3235790672 4044738340 5662633676 7078292095 8089476680 11325267352 14156584190 16178953360 22650534704 28313168380 56626336760 113252673520