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135345654006 = 231914916747713
BaseRepresentation
bin111111000001100111…
…0101100100011110110
3110221100110201121100020
41332003032230203312
54204141441412011
6142102115030010
712530664035313
oct1760316544366
9427313647306
10135345654006
1152444103102
1222292b9b306
13c9bc527404
14679d425d0a
1537c22e6006
hex1f833ac8f6

135345654006 has 64 divisors (see below), whose sum is σ = 288574272000. Its totient is φ = 42198782976.

The previous prime is 135345653981. The next prime is 135345654011. The reversal of 135345654006 is 600456543531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812806 + ... + 2860518.

It is an arithmetic number, because the mean of its divisors is an integer number (4508973000).

Almost surely, 2135345654006 is an apocalyptic number.

135345654006 is an abundant number, since it is smaller than the sum of its proper divisors (153228617994).

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

135345654006 is a wasteful number, since it uses less digits than its factorization.

135345654006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48053.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 135345654006 in words is "one hundred thirty-five billion, three hundred forty-five million, six hundred fifty-four thousand, six".

Divisors: 1 2 3 6 19 38 57 114 149 167 298 334 447 501 894 1002 2831 3173 5662 6346 8493 9519 16986 19038 24883 47713 49766 74649 95426 143139 149298 286278 472777 906547 945554 1418331 1813094 2719641 2836662 5439282 7109237 7968071 14218474 15936142 21327711 23904213 42655422 47808426 135075503 151393349 270151006 302786698 405226509 454180047 810453018 908360094 1187242579 2374485158 3561727737 7123455474 22557609001 45115218002 67672827003 135345654006