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502055543340 = 22325132177912289
BaseRepresentation
bin1110100111001001101…
…01111010001000101100
31202222220010002010121100
413103210311322020230
531211202204341330
61022350252403100
751162255464151
oct7234465721054
91688803063540
10502055543340
11183a142a164a
1281375476490
1338460c71700
141a42a21a228
15d0d6318060
hex74e4d7a22c

502055543340 has 432 divisors, whose sum is σ = 1768308796800. Its totient is φ = 114831654912.

The previous prime is 502055543329. The next prime is 502055543347. The reversal of 502055543340 is 43345550205.

502055543340 is a `hidden beast` number, since 5 + 0 + 20 + 55 + 543 + 3 + 40 = 666.

502055543340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 502055543295 and 502055543304.

It is not an unprimeable number, because it can be changed into a prime (502055543347) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40847916 + ... + 40860204.

It is an arithmetic number, because the mean of its divisors is an integer number (4093307400).

Almost surely, 2502055543340 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 502055543340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884154398400).

502055543340 is an abundant number, since it is smaller than the sum of its proper divisors (1266253253460).

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

502055543340 is a wasteful number, since it uses less digits than its factorization.

502055543340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 502055543340 in words is "five hundred two billion, fifty-five million, five hundred forty-three thousand, three hundred forty".