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4950868580928 = 2632172371814441
BaseRepresentation
bin100100000001011011011…
…0000110101101001000000
3122112022001112200102211100
41020002312300311221000
51122103334324042203
614310221515414400
71020455065406244
oct110026660655100
918468045612740
104950868580928
111639719277196
1267b617a54400
1329bb3226a06a
141318a2554424
1588bb424dea3
hex480b6c35a40

4950868580928 has 504 divisors, whose sum is σ = 15571089019304. Its totient is φ = 1502547148800.

The previous prime is 4950868580927. The next prime is 4950868580941. The reversal of 4950868580928 is 8290858680594.

4950868580928 is a `hidden beast` number, since 4 + 9 + 508 + 68 + 58 + 0 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 345518244864 + 4605350336064 = 587808^2 + 2146008^2 .

It is a super-2 number, since 2×49508685809282 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4950868580923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1114807188 + ... + 1114811628.

Almost surely, 24950868580928 is an apocalyptic number.

4950868580928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4950868580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785544509652).

4950868580928 is an abundant number, since it is smaller than the sum of its proper divisors (10620220438376).

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

4950868580928 is a wasteful number, since it uses less digits than its factorization.

4950868580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 4950868580928 in words is "four trillion, nine hundred fifty billion, eight hundred sixty-eight million, five hundred eighty thousand, nine hundred twenty-eight".