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21438157585360 = 24519113124814611
BaseRepresentation
bin1001101111111011101011…
…10001000111101111010000
32210220110122001200110212211
410313331311301013233100
510302220321320212420
6113332315330201504
74341566346552325
oct467756561075720
983813561613784
1021438157585360
116915965079a3a
1224a2a37723294
13bc67c034c489
1454188047ab4c
152729c7d96e5a
hex137f75c47bd0

21438157585360 has 80 divisors (see below), whose sum is σ = 52931380656960. Its totient is φ = 8052040120320.

The previous prime is 21438157585343. The next prime is 21438157585457. The reversal of 21438157585360 is 6358575183412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21438157585295 and 21438157585304.

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, 62235546 + ... + 62579065.

It is an arithmetic number, because the mean of its divisors is an integer number (661642258212).

Almost surely, 221438157585360 is an apocalyptic number.

21438157585360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21438157585360 is an abundant number, since it is smaller than the sum of its proper divisors (31493223071600).

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

21438157585360 is a wasteful number, since it uses less digits than its factorization.

21438157585360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124814756 (or 124814750 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 21438157585360 in words is "twenty-one trillion, four hundred thirty-eight billion, one hundred fifty-seven million, five hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 113 152 190 226 304 380 452 565 760 904 1130 1520 1808 2147 2260 4294 4520 8588 9040 10735 17176 21470 34352 42940 85880 171760 124814611 249629222 499258444 624073055 998516888 1248146110 1997033776 2371477609 2496292220 4742955218 4992584440 9485910436 9985168880 11857388045 14104051043 18971820872 23714776090 28208102086 37943641744 47429552180 56416204172 70520255215 94859104360 112832408344 141040510430 189718208720 225664816688 267976969817 282081020860 535953939634 564162041720 1071907879268 1128324083440 1339884849085 2143815758536 2679769698170 4287631517072 5359539396340 10719078792680 21438157585360