Search a number
-
+
48573296640 = 2123251123957
BaseRepresentation
bin101101001111001100…
…011011000000000000
311122101011020010112200
4231033030123000000
51243434230443030
634151514153200
73336456131511
oct551714330000
9148334203480
1048573296640
11196663a5770
1294b7122800
13477130195b
1424cb06aa08
1513e44c7d60
hexb4f31b000

48573296640 has 312 divisors, whose sum is σ = 183680619408. Its totient is φ = 11774853120.

The previous prime is 48573296587. The next prime is 48573296677. The reversal of 48573296640 is 4669237584.

48573296640 is a `hidden beast` number, since 4 + 8 + 573 + 2 + 9 + 6 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2015542 + ... + 2039498.

It is an arithmetic number, because the mean of its divisors is an integer number (588719934).

Almost surely, 248573296640 is an apocalyptic number.

48573296640 is a gapful number since it is divisible by the number (40) 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 48573296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91840309704).

48573296640 is an abundant number, since it is smaller than the sum of its proper divisors (135107322768).

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

48573296640 is a wasteful number, since it uses less digits than its factorization.

48573296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24003 (or 23978 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 48573296640 in words is "forty-eight billion, five hundred seventy-three million, two hundred ninety-six thousand, six hundred forty".