Search a number
-
+
93669488640 = 2113457131773
BaseRepresentation
bin101011100111100100…
…0101111100000000000
322221202222200001020000
41113033020233200000
53013313342114030
6111010422120000
76524134342110
oct1271710574000
9287688601200
1093669488640
11367a7a91232
12161a1880000
138aaa122230
1447683b9040
1526835b7860
hex15cf22f800

93669488640 has 1920 divisors, whose sum is σ = 443519556480. Its totient is φ = 18345885696.

The previous prime is 93669488639. The next prime is 93669488651. The reversal of 93669488640 is 4688496639.

93669488640 is a `hidden beast` number, since 9 + 36 + 69 + 488 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1283143644 + ... + 1283143716.

It is an arithmetic number, because the mean of its divisors is an integer number (230999769).

Almost surely, 293669488640 is an apocalyptic number.

93669488640 is a gapful number since it is divisible by the number (90) 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 93669488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221759778240).

93669488640 is an abundant number, since it is smaller than the sum of its proper divisors (349850067840).

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

93669488640 is a wasteful number, since it uses less digits than its factorization.

93669488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 93669488640 in words is "ninety-three billion, six hundred sixty-nine million, four hundred eighty-eight thousand, six hundred forty".