Search a number
-
+
53867789240832 = 29367531277
BaseRepresentation
bin11000011111110000100100…
…11100010100101000000000
321001201201011211222112000000
430033320102130110220000
524030032213021201312
6310322304252000000
714226551014500000
oct1417702234245000
9231651154875000
1053867789240832
1116189223772536
12605bb31760000
132409931619268
14d43301a00000
15636358b61adc
hex30fe12714a00

53867789240832 has 1680 divisors, whose sum is σ = 195040080778752. Its totient is φ = 14840549498880.

The previous prime is 53867789240791. The next prime is 53867789240849. The reversal of 53867789240832 is 23804298776835.

53867789240832 is a `hidden beast` number, since 5 + 3 + 8 + 67 + 78 + 92 + 408 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 194468553078 + ... + 194468553354.

Almost surely, 253867789240832 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 53867789240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97520040389376).

53867789240832 is an abundant number, since it is smaller than the sum of its proper divisors (141172291537920).

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

53867789240832 is an frugal number, since it uses more digits than its factorization.

53867789240832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 53867789240832 in words is "fifty-three trillion, eight hundred sixty-seven billion, seven hundred eighty-nine million, two hundred forty thousand, eight hundred thirty-two".