Search a number
-
+
70537420800 = 2133252721171
BaseRepresentation
bin100000110110001011…
…0111010000000000000
320202001212121020121200
41001230112322000000
52123430034431200
652223205421200
75044661120100
oct1015426720000
9222055536550
1070537420800
1127a075982a0
1211806a0a800
1368618a2322
1435b214d200
151c7c8bb800
hex106c5ba000

70537420800 has 1512 divisors, whose sum is σ = 325152483552. Its totient is φ = 14450688000.

The previous prime is 70537420771. The next prime is 70537420813. The reversal of 70537420800 is 802473507.

70537420800 is a `hidden beast` number, since 7 + 0 + 537 + 42 + 0 + 80 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 993484765 + ... + 993484835.

Almost surely, 270537420800 is an apocalyptic number.

70537420800 is a gapful number since it is divisible by the number (70) 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 70537420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162576241776).

70537420800 is an abundant number, since it is smaller than the sum of its proper divisors (254615062752).

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

70537420800 is a wasteful number, since it uses less digits than its factorization.

70537420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 70537420800 in words is "seventy billion, five hundred thirty-seven million, four hundred twenty thousand, eight hundred".