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130963506037938 = 23278911678571967
BaseRepresentation
bin11101110001110001010001…
…010000011000010010110010
3122011200222200220121100122100
4131301301101100120102302
5114131201230021203223
61142311445404121230
736404541523664610
oct3561612120302262
9564628626540570
10130963506037938
1138802346a462a2
1212831731236216
13580ca61c70122
14244a94b9286b0
1510219dc029043
hex771c514184b2

130963506037938 has 48 divisors (see below), whose sum is σ = 327934300861440. Its totient is φ = 36997715988288.

The previous prime is 130963506037937. The next prime is 130963506037951. The reversal of 130963506037938 is 839730605369031.

It is a happy number.

130963506037938 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 3 + 506 + 0 + 37 + 93 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (130963506037933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5839274770 + ... + 5839297197.

It is an arithmetic number, because the mean of its divisors is an integer number (6831964601280).

Almost surely, 2130963506037938 is an apocalyptic number.

130963506037938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

130963506037938 is an abundant number, since it is smaller than the sum of its proper divisors (196970794823502).

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

130963506037938 is a wasteful number, since it uses less digits than its factorization.

130963506037938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11678572071 (or 11678572068 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 130963506037938 in words is "one hundred thirty trillion, nine hundred sixty-three billion, five hundred six million, thirty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1602 1869 3738 5607 11214 11678571967 23357143934 35035715901 70071431802 81750003769 105107147703 163500007538 210214295406 245250011307 490500022614 735750033921 1039392905063 1471500067842 2078785810126 3118178715189 6236357430378 7275750335441 9354536145567 14551500670882 18709072291134 21827251006323 43654502012646 65481753018969 130963506037938