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135011088648 = 233217313558167
BaseRepresentation
bin111110110111101001…
…0011011100100001000
3110220111011011220221200
41331233102123210020
54203000314314043
6142005004104200
712516462214152
oct1755722334410
9426434156850
10135011088648
1152292270207
12221bab35060
13c968116647
14676ac15ad2
1537a2c5a7d3
hex1f6f49b908

135011088648 has 96 divisors (see below), whose sum is σ = 399653429760. Its totient is φ = 40990072320.

The previous prime is 135011088623. The next prime is 135011088697. The reversal of 135011088648 is 846880110531.

135011088648 is a `hidden beast` number, since 1 + 3 + 501 + 1 + 0 + 88 + 64 + 8 = 666.

It is a super-2 number, since 2×1350110886482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741140 + ... + 1817027.

It is an arithmetic number, because the mean of its divisors is an integer number (4163056560).

Almost surely, 2135011088648 is an apocalyptic number.

135011088648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135011088648 is an abundant number, since it is smaller than the sum of its proper divisors (264642341112).

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

135011088648 is a wasteful number, since it uses less digits than its factorization.

135011088648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558227 (or 3558220 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 135011088648 in words is "one hundred thirty-five billion, eleven million, eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 3162 4216 4743 6324 9486 12648 18972 37944 3558167 7116334 10674501 14232668 21349002 28465336 32023503 42698004 60488839 64047006 85396008 110303177 120977678 128094012 181466517 220606354 241955356 256188024 330909531 362933034 441212708 483910712 544399551 661819062 725866068 882425416 992728593 1088799102 1323638124 1451732136 1875154009 1985457186 2177598204 2647276248 3750308018 3970914372 4355196408 5625462027 7500616036 7941828744 11250924054 15001232072 16876386081 22501848108 33752772162 45003696216 67505544324 135011088648