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5016715920 = 2432519219301
BaseRepresentation
bin1001010110000010…
…10000001010010000
3110221121211120111100
410223001100022100
540233234402140
62145445344400
7235214244636
oct45301201220
913847746440
105016715920
112144894a17
12b80108100
1361c462278
143583b3356
151e5659530
hex12b050290

5016715920 has 180 divisors, whose sum is σ = 17782121916. Its totient is φ = 1267315200.

The previous prime is 5016715903. The next prime is 5016715943. The reversal of 5016715920 is 295176105.

5016715920 is a `hidden beast` number, since 5 + 0 + 1 + 67 + 1 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2314379664 + 2702336256 = 48108^2 + 51984^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250270 + ... + 269570.

Almost surely, 25016715920 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 5016715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891060958).

5016715920 is an abundant number, since it is smaller than the sum of its proper divisors (12765405996).

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

5016715920 is a wasteful number, since it uses less digits than its factorization.

5016715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19358 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 5016715920 is about 70828.7788967168. The cubic root of 5016715920 is about 1711.8794151100.

The spelling of 5016715920 in words is "five billion, sixteen million, seven hundred fifteen thousand, nine hundred twenty".