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135556253040 = 24351343447517
BaseRepresentation
bin111111000111111001…
…0000100010101110000
3110221220011000010220110
41332033302010111300
54210104400044130
6142135040541320
712536132065545
oct1761762042560
9427804003813
10135556253040
1152541a7529a
1222331621840
13ca24052b20
1467bd3a6bcc
1537d5a45ab0
hex1f8fc84570

135556253040 has 80 divisors (see below), whose sum is σ = 452549347488. Its totient is φ = 33367692288.

The previous prime is 135556252973. The next prime is 135556253051. The reversal of 135556253040 is 40352655531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 135556253040.

It is a congruent number.

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, 21720639 + ... + 21726878.

Almost surely, 2135556253040 is an apocalyptic number.

135556253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135556253040 is an abundant number, since it is smaller than the sum of its proper divisors (316993094448).

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

135556253040 is a wasteful number, since it uses less digits than its factorization.

135556253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43447546 (or 43447540 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 135556253040 in words is "one hundred thirty-five billion, five hundred fifty-six million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 43447517 86895034 130342551 173790068 217237585 260685102 347580136 434475170 521370204 564817721 651712755 695160272 868950340 1042740408 1129635442 1303425510 1694453163 1737900680 2085480816 2259270884 2606851020 2824088605 3388906326 3475801360 4518541768 5213702040 5648177210 6777812652 8472265815 9037083536 10427404080 11296354420 13555625304 16944531630 22592708840 27111250608 33889063260 45185417680 67778126520 135556253040