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130346010988864 = 2611732543997369
BaseRepresentation
bin11101101000110010001011…
…101011101101000101000000
3122002111221211121201201120121
4131220302023223231011000
5114041042112303120424
61141120044130150024
736312121443451606
oct3550621353550500
9562457747651517
10130346010988864
11385944840a9460
1212751b1b422314
1357967648aba98
142428acdd3b876
1510108eb2e7ee4
hex768c8baed140

130346010988864 has 112 divisors (see below), whose sum is σ = 286147591361280. Its totient is φ = 58413529866240.

The previous prime is 130346010988799. The next prime is 130346010988957. The reversal of 130346010988864 is 468889010643031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130191172 + ... + 131188540.

Almost surely, 2130346010988864 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 130346010988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143073795680640).

130346010988864 is an abundant number, since it is smaller than the sum of its proper divisors (155801580372416).

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

130346010988864 is a wasteful number, since it uses less digits than its factorization.

130346010988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000008 (or 999998 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 130346010988864 in words is "one hundred thirty trillion, three hundred forty-six billion, ten million, nine hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 292 352 584 704 803 1168 1606 2336 2543 3212 4672 5086 6424 10172 12848 20344 25696 27973 40688 51392 55946 81376 111892 162752 185639 223784 371278 447568 742556 895136 997369 1485112 1790272 1994738 2042029 2970224 3989476 4084058 5940448 7978952 8168116 10971059 11880896 15957904 16336232 21942118 31915808 32672464 43884236 63831616 65344928 72807937 87768472 130689856 145615874 175536944 291231748 351073888 582463496 702147776 800887307 1164926992 1601774614 2329853984 2536309367 3203549228 4659707968 5072618734 6407098456 10145237468 12814196912 20290474936 25628393824 27899403037 40580949872 51256787648 55798806074 81161899744 111597612148 162323799488 185150583791 223195224296 370301167582 446390448592 740602335164 892780897184 1481204670328 1785561794368 2036656421701 2962409340656 4073312843402 5924818681312 8146625686804 11849637362624 16293251373608 32586502747216 65173005494432 130346010988864