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135676382724 = 22332943319407
BaseRepresentation
bin111111001011011110…
…0010100111000000100
3110222012112001100212000
41332112330110320010
54210331123221344
6142155011425300
712542121140061
oct1762674247004
9428175040760
10135676382724
11525a3865523
12223658b5230
13ca42bc3a8c
1467d1317c68
1537e1374a69
hex1f96f14e04

135676382724 has 48 divisors (see below), whose sum is σ = 363883027200. Its totient is φ = 43665961248.

The previous prime is 135676382651. The next prime is 135676382761. The reversal of 135676382724 is 427283676531.

It is a happy number.

135676382724 is a `hidden beast` number, since 1 + 3 + 567 + 6 + 3 + 8 + 2 + 72 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 21656572 + ... + 21662835.

It is an arithmetic number, because the mean of its divisors is an integer number (7580896400).

Almost surely, 2135676382724 is an apocalyptic number.

It is an amenable number.

135676382724 is an abundant number, since it is smaller than the sum of its proper divisors (228206644476).

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

135676382724 is a wasteful number, since it uses less digits than its factorization.

135676382724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43319449 (or 43319441 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

It can be divided in two parts, 135676 and 382724, that added together give a square (518400 = 7202).

The spelling of 135676382724 in words is "one hundred thirty-five billion, six hundred seventy-six million, three hundred eighty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 43319407 86638814 129958221 173277628 259916442 389874663 519832884 779749326 1169623989 1256262803 1559498652 2339247978 2512525606 3768788409 4678495956 5025051212 7537576818 11306365227 15075153636 22612730454 33919095681 45225460908 67838191362 135676382724