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135624433704 = 23310752813253
BaseRepresentation
bin111111001001111011…
…0001010000000101000
3110222001220022002012020
41332103312022000220
54210224323334304
6142145514144440
712540620444154
oct1762366120050
9428056262166
10135624433704
1152577503451
1222350422120
13ca35205506
1467c8474064
1537dba125d9
hex1f93d8a028

135624433704 has 32 divisors (see below), whose sum is σ = 342229885920. Its totient is φ = 44785637696.

The previous prime is 135624433667. The next prime is 135624433709. The reversal of 135624433704 is 407334426531.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135624433709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26404059 + ... + 26409194.

It is an arithmetic number, because the mean of its divisors is an integer number (10694683935).

Almost surely, 2135624433704 is an apocalyptic number.

It is an amenable number.

135624433704 is an abundant number, since it is smaller than the sum of its proper divisors (206605452216).

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

135624433704 is a wasteful number, since it uses less digits than its factorization.

135624433704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52813369 (or 52813365 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 135624433704 in words is "one hundred thirty-five billion, six hundred twenty-four million, four hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 52813253 105626506 158439759 211253012 316879518 422506024 633759036 1267518072 5651018071 11302036142 16953054213 22604072284 33906108426 45208144568 67812216852 135624433704