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375113681748 = 223413229388901
BaseRepresentation
bin1010111010101101000…
…01001000101101010100
31022212020022120102020000
411131112201020231110
522121213100303443
6444154100011300
736046444454211
oct5352641105524
91285208512200
10375113681748
111350a2992133
1260848990b30
13294b0828c40
1414226d6cb08
159b56bce8d3
hex5756848b54

375113681748 has 120 divisors (see below), whose sum is σ = 1060667980680. Its totient is φ = 114915283200.

The previous prime is 375113681693. The next prime is 375113681777. The reversal of 375113681748 is 847186311573.

375113681748 is a `hidden beast` number, since 3 + 7 + 511 + 3 + 6 + 81 + 7 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29277947664 + 345835734084 = 171108^2 + 588078^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 375113681694 and 375113681703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 770098 + ... + 1158998.

It is an arithmetic number, because the mean of its divisors is an integer number (8838899839).

Almost surely, 2375113681748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375113681748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530333990340).

375113681748 is an abundant number, since it is smaller than the sum of its proper divisors (685554298932).

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

375113681748 is a wasteful number, since it uses less digits than its factorization.

375113681748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389159 (or 389148 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 375113681748 in words is "three hundred seventy-five billion, one hundred thirteen million, six hundred eighty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 229 234 324 351 458 468 687 702 916 1053 1374 1404 2061 2106 2748 2977 4122 4212 5954 6183 8244 8931 11908 12366 17862 18549 24732 26793 35724 37098 53586 74196 80379 107172 160758 241137 321516 388901 482274 777802 964548 1166703 1555604 2333406 3500109 4666812 5055713 7000218 10111426 10500327 14000436 15167139 20222852 21000654 30334278 31500981 42001308 45501417 60668556 63001962 89058329 91002834 126003924 136504251 178116658 182005668 267174987 273008502 356233316 409512753 534349974 546017004 801524961 819025506 1068699948 1157758277 1603049922 1638051012 2315516554 2404574883 3206099844 3473274831 4631033108 4809149766 6946549662 7213724649 9618299532 10419824493 13893099324 14427449298 20839648986 28854898596 31259473479 41679297972 62518946958 93778420437 125037893916 187556840874 375113681748