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135185702064 = 24371992021801
BaseRepresentation
bin111110111100110110…
…0100001110010110000
3110220221022202012112020
41331321230201302300
54203330014431224
6142034202431440
712524012336160
oct1757154416260
9426838665466
10135185702064
1152371893916
1222249502580
13c9953527aa
1467860aa5a0
1537b324cc79
hex1f79b21cb0

135185702064 has 80 divisors (see below), whose sum is σ = 401125516800. Its totient is φ = 38430374400.

The previous prime is 135185702063. The next prime is 135185702077. The reversal of 135185702064 is 460207581531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135185702063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944037 + ... + 1077764.

It is an arithmetic number, because the mean of its divisors is an integer number (5014068960).

Almost surely, 2135185702064 is an apocalyptic number.

135185702064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135185702064 is an abundant number, since it is smaller than the sum of its proper divisors (265939814736).

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

135185702064 is a wasteful number, since it uses less digits than its factorization.

135185702064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022018 (or 2022012 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 135185702064 in words is "one hundred thirty-five billion, one hundred eighty-five million, seven hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 336 398 597 796 1194 1393 1592 2388 2786 3184 4179 4776 5572 8358 9552 11144 16716 22288 33432 66864 2021801 4043602 6065403 8087204 12130806 14152607 16174408 24261612 28305214 32348816 42457821 48523224 56610428 84915642 97046448 113220856 169831284 226441712 339662568 402338399 679325136 804676798 1207015197 1609353596 2414030394 2816368793 3218707192 4828060788 5632737586 6437414384 8449106379 9656121576 11265475172 16898212758 19312243152 22530950344 33796425516 45061900688 67592851032 135185702064