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136577623040 = 210526675317
BaseRepresentation
bin111111100110010101…
…0010010010000000000
3111001112022220010010222
41333030222102100000
54214202332414130
6142424244242212
712603343432625
oct1771452222000
9431468803128
10136577623040
1152a16564731
12225776a0368
13cb57832b81
146878cb834c
153845548ce5
hex1fcca92400

136577623040 has 44 divisors (see below), whose sum is σ = 327626255676. Its totient is φ = 54631047168.

The previous prime is 136577623019. The next prime is 136577623051. The reversal of 136577623040 is 40326775631.

136577623040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79100437504 + 57477185536 = 281248^2 + 239744^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 136577622982 and 136577623000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13332539 + ... + 13342778.

Almost surely, 2136577623040 is an apocalyptic number.

136577623040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136577623040 is an abundant number, since it is smaller than the sum of its proper divisors (191048632636).

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

136577623040 is an equidigital number, since it uses as much as digits as its factorization.

136577623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26675342 (or 26675324 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 136577623040 in words is "one hundred thirty-six billion, five hundred seventy-seven million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 26675317 53350634 106701268 133376585 213402536 266753170 426805072 533506340 853610144 1067012680 1707220288 2134025360 3414440576 4268050720 6828881152 8536101440 13657762304 17072202880 27315524608 34144405760 68288811520 136577623040