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49285184832 = 263413312761
BaseRepresentation
bin101101111001101000…
…000011110101000000
311201012202202210120000
4231321220003311000
51301414001403312
634350304320000
73363222105342
oct557150036500
9151182683500
1049285184832
11199a1224914
129675613000
134855944180
14255781b292
151436c47adc
hexb79a03d40

49285184832 has 420 divisors, whose sum is σ = 162787609908. Its totient is φ = 14656204800.

The previous prime is 49285184813. The next prime is 49285184849. The reversal of 49285184832 is 23848158294.

49285184832 is a `hidden beast` number, since 4 + 92 + 8 + 518 + 4 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2411202816 + 46873982016 = 49104^2 + 216504^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64763332 + ... + 64764092.

Almost surely, 249285184832 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 49285184832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81393804954).

49285184832 is an abundant number, since it is smaller than the sum of its proper divisors (113502425076).

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

49285184832 is a wasteful number, since it uses less digits than its factorization.

49285184832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 810 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 49285184832 in words is "forty-nine billion, two hundred eighty-five million, one hundred eighty-four thousand, eight hundred thirty-two".