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500502138192 = 243273759227453
BaseRepresentation
bin1110100100010000100…
…00001000110101010000
31202211212212001222100100
413102020100020311100
531200012021410232
61021532201452400
751105623660160
oct7221020106520
91684785058310
10500502138192
11183297455341
12810011a1100
13382741a1174
141a31dbb45a0
15d044c6ec7c
hex7488408d50

500502138192 has 240 divisors, whose sum is σ = 1671950666880. Its totient is φ = 136776895488.

The previous prime is 500502138163. The next prime is 500502138193. The reversal of 500502138192 is 291831205005.

500502138192 is a `hidden beast` number, since 5 + 0 + 0 + 502 + 138 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500502138193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086738 + ... + 2314190.

It is an arithmetic number, because the mean of its divisors is an integer number (6966461112).

Almost surely, 2500502138192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500502138192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835975333440).

500502138192 is an abundant number, since it is smaller than the sum of its proper divisors (1171448528688).

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

500502138192 is a wasteful number, since it uses less digits than its factorization.

500502138192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227570 (or 227561 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 500502138192 in words is "five hundred billion, five hundred two million, one hundred thirty-eight thousand, one hundred ninety-two".