Search a number
-
+
1338522086550 = 2352113172559071
BaseRepresentation
bin10011011110100110001…
…000100010110010010110
311201221221220110012121110
4103132212020202302112
5133412243123232200
62502524125355450
7165463553003535
oct23364610426226
94657856405543
101338522086550
11476733905a60
121974b8408b86
13992b6c1b7ac
1448adb76231c
1524c40cc6b50
hex137a6222c96

1338522086550 has 96 divisors (see below), whose sum is σ = 3632735775744. Its totient is φ = 323466448000.

The previous prime is 1338522086507. The next prime is 1338522086591. The reversal of 1338522086550 is 556802258331.

It is a self number, because there is not a number n which added to its sum of digits gives 1338522086550.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 756486 + ... + 1802585.

It is an arithmetic number, because the mean of its divisors is an integer number (37840997664).

Almost surely, 21338522086550 is an apocalyptic number.

1338522086550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338522086550 is an abundant number, since it is smaller than the sum of its proper divisors (2294213689194).

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

1338522086550 is a wasteful number, since it uses less digits than its factorization.

1338522086550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559414 (or 2559409 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 1338522086550 in words is "one trillion, three hundred thirty-eight billion, five hundred twenty-two million, eighty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 317 330 550 634 825 951 1585 1650 1902 3170 3487 4755 6974 7925 9510 10461 15850 17435 20922 23775 34870 47550 52305 87175 104610 174350 261525 523050 2559071 5118142 7677213 12795355 15354426 25590710 28149781 38386065 56299562 63976775 76772130 84449343 127953550 140748905 168898686 191930325 281497810 383860650 422246715 703744525 811225507 844493430 1407489050 1622451014 2111233575 2433676521 4056127535 4222467150 4867353042 8112255070 8923480577 12168382605 17846961154 20280637675 24336765210 26770441731 40561275350 44617402885 53540883462 60841913025 89234805770 121683826050 133852208655 223087014425 267704417310 446174028850 669261043275 1338522086550