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135639074640 = 24351493793039
BaseRepresentation
bin111111001010010111…
…0000000011101010000
3110222002220211220210010
41332110232000131100
54210242100342030
6142151200034520
712541156053126
oct1762456003520
9428086756703
10135639074640
11525847a33a3
1222355302a40
13ca382605a4
1467ca3a5916
1537dce556b0
hex1f94b80750

135639074640 has 80 divisors (see below), whose sum is σ = 423303264000. Its totient is φ = 35927655936.

The previous prime is 135639074639. The next prime is 135639074647. The reversal of 135639074640 is 46470936531.

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

It is a super-2 number, since 2×1356390746402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 135639074640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135639074647) 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 15 ways as a sum of consecutive naturals, for example, 1860760 + ... + 1932279.

It is an arithmetic number, because the mean of its divisors is an integer number (5291290800).

Almost surely, 2135639074640 is an apocalyptic number.

135639074640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135639074640 is an abundant number, since it is smaller than the sum of its proper divisors (287664189360).

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

135639074640 is a wasteful number, since it uses less digits than its factorization.

135639074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793204 (or 3793198 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 135639074640 in words is "one hundred thirty-five billion, six hundred thirty-nine million, seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 7152 8940 11920 17880 35760 3793039 7586078 11379117 15172156 18965195 22758234 30344312 37930390 45516468 56895585 60688624 75860780 91032936 113791170 151721560 182065872 227582340 303443120 455164680 565162811 910329360 1130325622 1695488433 2260651244 2825814055 3390976866 4521302488 5651628110 6781953732 8477442165 9042604976 11303256220 13563907464 16954884330 22606512440 27127814928 33909768660 45213024880 67819537320 135639074640