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13107448145364 = 22317412117427141
BaseRepresentation
bin1011111010111101000011…
…0010100110010111010100
31201102001121121010212011220
42332233100302212113110
53204223023211122424
643513251211130340
72521660532642406
oct276572062462724
951361547125156
1013107448145364
1141a3923849731
121578389a439b0
1374104759b561
1433459233ab76
1517ae4c70e579
hexbebd0ca65d4

13107448145364 has 96 divisors (see below), whose sum is σ = 33330161273472. Its totient is φ = 3992830464000.

The previous prime is 13107448145333. The next prime is 13107448145371. The reversal of 13107448145364 is 46354184470131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948767 + ... + 5478374.

It is an arithmetic number, because the mean of its divisors is an integer number (347189179932).

Almost surely, 213107448145364 is an apocalyptic number.

It is an amenable number.

13107448145364 is an abundant number, since it is smaller than the sum of its proper divisors (20222713128108).

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

13107448145364 is a wasteful number, since it uses less digits than its factorization.

13107448145364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427417 (or 7427415 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 13107448145364 in words is "thirteen trillion, one hundred seven billion, four hundred forty-eight million, one hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 211 246 422 492 633 697 844 1266 1394 2091 2532 2788 3587 4182 7174 8364 8651 10761 14348 17302 21522 25953 34604 43044 51906 103812 147067 294134 441201 588268 882402 1764804 7427141 14854282 22281423 29708564 44562846 89125692 126261397 252522794 304512781 378784191 505045588 609025562 757568382 913538343 1218051124 1515136764 1567126751 1827076686 3134253502 3654153372 4701380253 5176717277 6268507004 9402760506 10353434554 15530151831 18805521012 20706869108 26641154767 31060303662 53282309534 62120607324 64252196791 79923464301 106564619068 128504393582 159846928602 192756590373 257008787164 319693857204 385513180746 771026361492 1092287345447 2184574690894 3276862036341 4369149381788 6553724072682 13107448145364