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500395448640 = 26351941669121
BaseRepresentation
bin1110100100000011110…
…01001001100101000000
31202211121102022120210110
413102001321021211000
531144302213324030
61021513431031320
751103160064003
oct7220171114500
91684542276713
10500395448640
1118324220495a
1280b9150b540
1338258057859
141a30d96153a
15d03a6e81b0
hex7481e49940

500395448640 has 224 divisors, whose sum is σ = 1713166439040. Its totient is φ = 123332198400.

The previous prime is 500395448633. The next prime is 500395448731. The reversal of 500395448640 is 46844593005.

It is a super-3 number, since 3×5003954486403 (a number of 36 digits) contains 333 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 500395448640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413280 + ... + 1082400.

It is an arithmetic number, because the mean of its divisors is an integer number (7648064460).

Almost surely, 2500395448640 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 500395448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856583219520).

500395448640 is an abundant number, since it is smaller than the sum of its proper divisors (1212770990400).

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

500395448640 is a wasteful number, since it uses less digits than its factorization.

500395448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669201 (or 669191 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 500395448640 in words is "five hundred billion, three hundred ninety-five million, four hundred forty-eight thousand, six hundred forty".