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135543426624 = 2633200339161
BaseRepresentation
bin111111000111100000…
…1001000111001000000
3110221212020212111101000
41332033001020321000
54210043104122444
6142133502012000
712535615055004
oct1761701107100
9427766774330
10135543426624
1152535804651
1222329277000
13ca214b1928
1467bb7c8704
1537d4860469
hex1f8f048e40

135543426624 has 112 divisors (see below), whose sum is σ = 398681691840. Its totient is φ = 45157432320.

The previous prime is 135543426611. The next prime is 135543426643. The reversal of 135543426624 is 426624345531.

135543426624 is a `hidden beast` number, since 1 + 3 + 5 + 543 + 42 + 6 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135543426624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441604 + ... + 3480764.

Almost surely, 2135543426624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135543426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199340845920).

135543426624 is an abundant number, since it is smaller than the sum of its proper divisors (263138265216).

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

135543426624 is a wasteful number, since it uses less digits than its factorization.

135543426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41185 (or 41169 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 135543426624 in words is "one hundred thirty-five billion, five hundred forty-three million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2003 4006 6009 8012 12018 16024 18027 24036 32048 36054 39161 48072 54081 64096 72108 78322 96144 108162 117483 128192 144216 156644 192288 216324 234966 288432 313288 352449 384576 432648 469932 576864 626576 704898 865296 939864 1057347 1153728 1253152 1409796 1730592 1879728 2114694 2506304 2819592 3461184 3759456 4229388 5639184 7518912 8458776 11278368 16917552 22556736 33835104 67670208 78439483 156878966 235318449 313757932 470636898 627515864 705955347 941273796 1255031728 1411910694 1882547592 2117866041 2510063456 2823821388 3765095184 4235732082 5020126912 5647642776 7530190368 8471464164 11295285552 15060380736 16942928328 22590571104 33885856656 45181142208 67771713312 135543426624