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27132447240392 = 23131923995723633
BaseRepresentation
bin1100010101101010000111…
…11000010011000011001000
310120001211120220021102100212
412022311003320103003020
512024014222443143032
6133412250231420252
75500153223165114
oct612650370230310
9116054526242325
1027132447240392
11871089614242a
123062549824688
13121a76a7ccb10
1469b308998744
15320b9d1a1bb2
hex18ad43e130c8

27132447240392 has 64 divisors (see below), whose sum is σ = 57694230720000. Its totient is φ = 11858632879104.

The previous prime is 27132447240377. The next prime is 27132447240433. The reversal of 27132447240392 is 29304274423172.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27132447240392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878608 + ... + 7602240.

It is an arithmetic number, because the mean of its divisors is an integer number (901472355000).

Almost surely, 227132447240392 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 27132447240392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28847115360000).

27132447240392 is an abundant number, since it is smaller than the sum of its proper divisors (30561783479608).

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

27132447240392 is a wasteful number, since it uses less digits than its factorization.

27132447240392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726070 (or 5726066 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 27132447240392 in words is "twenty-seven trillion, one hundred thirty-two billion, four hundred forty-seven million, two hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 2399 4798 9596 19192 31187 45581 62374 91162 124748 182324 249496 364648 592553 1185106 2370212 4740424 5723633 11447266 22894532 45789064 74407229 108749027 148814458 217498054 297628916 434996108 595257832 869992216 1413737351 2827474702 5654949404 11309898808 13730995567 27461991134 54923982268 109847964536 178502942371 260888915773 357005884742 521777831546 714011769484 1043555663092 1428023538968 2087111326184 3391555905049 6783111810098 13566223620196 27132447240392