Search a number
-
+
5077054073520 = 243651113246829
BaseRepresentation
bin100100111100001100000…
…0000010010101010110000
3122222100202121221122000000
41021320120000102222300
51131140301320323040
614444211052430000
71032543063402612
oct111703000225260
918870677848000
105077054073520
111688191736460
1269bb73178300
132aa9c1a98100
14137a33192db2
158c0ec27d130
hex49e18012ab0

5077054073520 has 840 divisors, whose sum is σ = 20906897966640. Its totient is φ = 1136099727360.

The previous prime is 5077054073501. The next prime is 5077054073561. The reversal of 5077054073520 is 253704507705.

5077054073520 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 0 + 54 + 0 + 73 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 108393466 + ... + 108440294.

It is an arithmetic number, because the mean of its divisors is an integer number (24889164246).

Almost surely, 25077054073520 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 5077054073520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453448983320).

5077054073520 is an abundant number, since it is smaller than the sum of its proper divisors (15829843893120).

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

5077054073520 is a wasteful number, since it uses less digits than its factorization.

5077054073520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46897 (or 46863 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 5077054073520 in words is "five trillion, seventy-seven billion, fifty-four million, seventy-three thousand, five hundred twenty".