Search a number
-
+
53670708000 = 25335371343127
BaseRepresentation
bin110001111111000001…
…100000001100100000
312010112101220110101000
4301333001200030200
51334404200124000
640353405312000
73610003330230
oct617701401440
9163471813330
1053670708000
1120841796328
12a49a265600
1350a43a89b0
142852047cc0
1515e1c72000
hexc7f060320

53670708000 has 1536 divisors, whose sum is σ = 247973806080. Its totient is φ = 10973491200.

The previous prime is 53670707977. The next prime is 53670708011. The reversal of 53670708000 is 80707635.

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 255 ways as a sum of consecutive naturals, for example, 422603937 + ... + 422604063.

It is an arithmetic number, because the mean of its divisors is an integer number (161441280).

Almost surely, 253670708000 is an apocalyptic number.

53670708000 is a gapful number since it is divisible by the number (50) 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 53670708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123986903040).

53670708000 is an abundant number, since it is smaller than the sum of its proper divisors (194303098080).

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

53670708000 is a wasteful number, since it uses less digits than its factorization.

53670708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 53670708000 in words is "fifty-three billion, six hundred seventy million, seven hundred eight thousand".