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68037339600 = 243252237971031
BaseRepresentation
bin111111010111010101…
…110110100111010000
320111121122020221221200
4333113111312213100
52103320024331400
651131140151200
74626012562446
oct772725664720
9214548227850
1068037339600
112694433928a
1211229698500
136553944c39
1434160bab96
151b83176b00
hexfd75769d0

68037339600 has 360 divisors, whose sum is σ = 246922445952. Its totient is φ = 17315865600.

The previous prime is 68037339593. The next prime is 68037339653. The reversal of 68037339600 is 693373086.

It is a happy number.

68037339600 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 7 + 3 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65991085 + ... + 65992115.

Almost surely, 268037339600 is an apocalyptic number.

68037339600 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 68037339600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123461222976).

68037339600 is an abundant number, since it is smaller than the sum of its proper divisors (178885106352).

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

68037339600 is a wasteful number, since it uses less digits than its factorization.

68037339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 68037339600 in words is "sixty-eight billion, thirty-seven million, three hundred thirty-nine thousand, six hundred".