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107172155560 = 2357371951047
BaseRepresentation
bin110001111001111110…
…1010101000010101000
3101020122000022121001211
41203303331111002220
53223442032434220
6121122331122504
710512553202011
oct1436375250250
9336560277054
10107172155560
11414a6984798
121892b8a3434
13a14c6a0b82
1452897d2008
152bc3c0cb5a
hex18f3f550a8

107172155560 has 64 divisors (see below), whose sum is σ = 244785369600. Its totient is φ = 42221984256.

The previous prime is 107172155557. The next prime is 107172155561. The reversal of 107172155560 is 65551271701.

It is a super-2 number, since 2×1071721555602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (107172155561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2073957 + ... + 2125003.

It is an arithmetic number, because the mean of its divisors is an integer number (3824771400).

Almost surely, 2107172155560 is an apocalyptic number.

107172155560 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 107172155560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122392684800).

107172155560 is an abundant number, since it is smaller than the sum of its proper divisors (137613214040).

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

107172155560 is a wasteful number, since it uses less digits than its factorization.

107172155560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51850 (or 51846 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 40.

The spelling of 107172155560 in words is "one hundred seven billion, one hundred seventy-two million, one hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 719 730 1438 1460 2876 2920 3595 5752 7190 14380 28760 51047 52487 102094 104974 204188 209948 255235 262435 408376 419896 510470 524870 1020940 1049740 2041880 2099480 3726431 7452862 14905724 18632155 29811448 36702793 37264310 73405586 74528620 146811172 149057240 183513965 293622344 367027930 734055860 1468111720 2679303889 5358607778 10717215556 13396519445 21434431112 26793038890 53586077780 107172155560