Search a number
-
+
68114907000 = 23325376831583
BaseRepresentation
bin111111011011111101…
…101111111101111000
320111211001012210102100
4333123331233331320
52103444404011000
651142550503400
74630644104460
oct773375577570
9214731183370
1068114907000
11269840a8878
121124b664b60
136566a32cca
14342250cba0
151b89d99a00
hexfdbf6ff78

68114907000 has 384 divisors, whose sum is σ = 263669852160. Its totient is φ = 15536505600.

The previous prime is 68114906999. The next prime is 68114907017. The reversal of 68114907000 is 70941186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43028209 + ... + 43029791.

It is an arithmetic number, because the mean of its divisors is an integer number (686640240).

Almost surely, 268114907000 is an apocalyptic number.

68114907000 is a gapful number since it is divisible by the number (60) 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 68114907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131834926080).

68114907000 is an abundant number, since it is smaller than the sum of its proper divisors (195554945160).

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

68114907000 is a wasteful number, since it uses less digits than its factorization.

68114907000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 68114907000 in words is "sixty-eight billion, one hundred fourteen million, nine hundred seven thousand".