Search a number
-
+
53947460000 = 2554717191193
BaseRepresentation
bin110010001111100001…
…001110100110100000
312011020200122220202002
4302033201032212200
51340441022210000
640441053143132
73616603562330
oct621741164640
9164220586662
1053947460000
1120973a31195
12a556a8aaa8
135119826b85
14287aac90c0
15160b1dc8d5
hexc8f84e9a0

53947460000 has 480 divisors, whose sum is σ = 169195340160. Its totient is φ = 16478208000.

The previous prime is 53947459991. The next prime is 53947460009. The reversal of 53947460000 is 6474935.

It is an interprime number because it is at equal distance from previous prime (53947459991) and next prime (53947460009).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (53947460009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45219404 + ... + 45220596.

It is an arithmetic number, because the mean of its divisors is an integer number (352490292).

Almost surely, 253947460000 is an apocalyptic number.

53947460000 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 53947460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84597670080).

53947460000 is an abundant number, since it is smaller than the sum of its proper divisors (115247880160).

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

53947460000 is a wasteful number, since it uses less digits than its factorization.

53947460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 53947460000 in words is "fifty-three billion, nine hundred forty-seven million, four hundred sixty thousand".