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15340058527864 = 23721711711965781
BaseRepresentation
bin1101111100111010001010…
…1111010100100001111000
32000022111101001110110121211
43133032202233110201320
54002312414440342424
652343043044012504
73142165644036100
oct337164257244170
960274331413554
1015340058527864
114984756140754
12187900a691134
1387373b2837c5
143b0669c9c200
151b906ba1bb94
hexdf3a2bd4878

15340058527864 has 96 divisors (see below), whose sum is σ = 35456967196560. Its totient is φ = 6182299468800.

The previous prime is 15340058527793. The next prime is 15340058527883. The reversal of 15340058527864 is 46872585004351.

It is a junction number, because it is equal to n+sod(n) for n = 15340058527799 and 15340058527808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6820654 + ... + 8786434.

Almost surely, 215340058527864 is an apocalyptic number.

15340058527864 is a gapful number since it is divisible by the number (14) 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 15340058527864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728483598280).

15340058527864 is an abundant number, since it is smaller than the sum of its proper divisors (20116908668696).

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

15340058527864 is a wasteful number, since it uses less digits than its factorization.

15340058527864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966989 (or 1966978 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 58.

The spelling of 15340058527864 in words is "fifteen trillion, three hundred forty billion, fifty-eight million, five hundred twenty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1171 1666 2342 3332 4684 6664 8197 9368 16394 19907 32788 39814 57379 65576 79628 114758 139349 159256 229516 278698 459032 557396 975443 1114792 1950886 1965781 3901772 3931562 7803544 7863124 13760467 15726248 27520934 33418277 55041868 66836554 96323269 110083736 133673108 192646538 233927939 267346216 385293076 467855878 770586152 935711756 1637495573 1871423512 2301929551 3274991146 4603859102 6549982292 9207718204 13099964584 16113506857 18415436408 32227013714 39132802367 64454027428 78265604734 112794547999 128908054856 156531209468 225589095998 273929616569 313062418936 451178191996 547859233138 902356383992 1095718466276 1917507315983 2191436932552 3835014631966 7670029263932 15340058527864