Search a number
-
+
135831408842580 = 223511205805164913
BaseRepresentation
bin11110111000100110110110…
…110111111001011101010100
3122210221100121102112200020120
4132320212312313321131110
5120300430211130430310
61200520030543231540
740416331636056363
oct3670466667713524
9583840542480216
10135831408842580
113a3098601a0820
1213299053ba85b0
135aa3b01814469
1425783bd4897da
1510a8447725b70
hex7b89b6df9754

135831408842580 has 48 divisors (see below), whose sum is σ = 414903212466624. Its totient is φ = 32928826385920.

The previous prime is 135831408842567. The next prime is 135831408842611. The reversal of 135831408842580 is 85248804138531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102902581797 + ... + 102902583116.

It is an arithmetic number, because the mean of its divisors is an integer number (8643816926388).

Almost surely, 2135831408842580 is an apocalyptic number.

135831408842580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135831408842580 is an abundant number, since it is smaller than the sum of its proper divisors (279071803624044).

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

135831408842580 is a wasteful number, since it uses less digits than its factorization.

135831408842580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205805164936 (or 205805164934 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 135831408842580 in words is "one hundred thirty-five trillion, eight hundred thirty-one billion, four hundred eight million, eight hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 205805164913 411610329826 617415494739 823220659652 1029025824565 1234830989478 2058051649130 2263856814043 2469661978956 3087077473695 4116103298260 4527713628086 6174154947390 6791570442129 9055427256172 11319284070215 12348309894780 13583140884258 22638568140430 27166281768516 33957852210645 45277136280860 67915704421290 135831408842580