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130407366894 = 237171919334973
BaseRepresentation
bin111100101110011100…
…0101000000011101110
3110110121022110121221120
41321130320220003232
54114033241220034
6135524110241410
712264421220640
oct1713470500356
9413538417846
10130407366894
115033a616992
12213351b6266
13c3b33c532c
14645162a890
1535d39cec49
hex1e5ce280ee

130407366894 has 128 divisors (see below), whose sum is σ = 332457384960. Its totient is φ = 33198004224.

The previous prime is 130407366893. The next prime is 130407366961. The reversal of 130407366894 is 498663704031.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130407366893) 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 63 ways as a sum of consecutive naturals, for example, 26220592 + ... + 26225564.

It is an arithmetic number, because the mean of its divisors is an integer number (2597323320).

Almost surely, 2130407366894 is an apocalyptic number.

130407366894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130407366894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166228692480).

130407366894 is an abundant number, since it is smaller than the sum of its proper divisors (202050018066).

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

130407366894 is a wasteful number, since it uses less digits than its factorization.

130407366894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954.

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 130407366894 in words is "one hundred thirty billion, four hundred seven million, three hundred sixty-six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1933 1938 2261 3866 4522 4973 5799 6783 9946 11598 13531 13566 14919 27062 29838 32861 34811 36727 40593 65722 69622 73454 81186 84541 94487 98583 104433 110181 169082 188974 197166 208866 220362 230027 253623 257089 283461 460054 507246 514178 566922 591787 624359 661409 690081 771267 1183574 1248718 1322818 1380162 1542534 1606279 1775361 1873077 1984227 3212558 3550722 3746154 3968454 4370513 4818837 8741026 9612809 9637674 11243953 13111539 19225618 22487906 26223078 28838427 33731859 57676854 67289663 67463718 134579326 163417753 182643371 201868989 326835506 365286742 403737978 490253259 547930113 980506518 1095860226 1143924271 1278503597 2287848542 2557007194 3104937307 3431772813 3835510791 6209874614 6863545626 7671021582 9314811921 18629623842 21734561149 43469122298 65203683447 130407366894