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153864940340 = 22565311781389
BaseRepresentation
bin1000111101001100010…
…0001010101100110100
3112201011010000211022002
42033103010022230310
510010103411042330
6154403511354432
714054626261616
oct2172304125464
9481133024262
10153864940340
115a287825021
12259a1082a18
13116812033c7
147638bc8db6
154008076e45
hex23d310ab34

153864940340 has 24 divisors (see below), whose sum is σ = 323611220520. Its totient is φ = 61451719808.

The previous prime is 153864940289. The next prime is 153864940373. The reversal of 153864940340 is 43049468351.

It can be written as a sum of positive squares in 4 ways, for example, as 5798517904 + 148066422436 = 76148^2 + 384794^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5877635 + ... + 5903754.

It is an arithmetic number, because the mean of its divisors is an integer number (13483800855).

Almost surely, 2153864940340 is an apocalyptic number.

153864940340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153864940340 is an abundant number, since it is smaller than the sum of its proper divisors (169746280180).

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

153864940340 is a wasteful number, since it uses less digits than its factorization.

153864940340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782051 (or 11782049 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 153864940340 in words is "one hundred fifty-three billion, eight hundred sixty-four million, nine hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 653 1306 2612 3265 6530 13060 11781389 23562778 47125556 58906945 117813890 235627780 7693247017 15386494034 30772988068 38466235085 76932470170 153864940340