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68797693440 = 29355723761
BaseRepresentation
bin100000000010010101…
…0010111111000000000
320120120121222221100000
41000010222113320000
52111344202142230
651334421200000
74653604513500
oct1000452277000
9216517887300
1068797693440
11271a4560393
1211400260000
136645326358
143489085a00
151bc9cbbb60
hex1004a97e00

68797693440 has 1440 divisors, whose sum is σ = 300039483744. Its totient is φ = 15049359360.

The previous prime is 68797693429. The next prime is 68797693463. The reversal of 68797693440 is 4439679786.

68797693440 is a `hidden beast` number, since 68 + 79 + 7 + 69 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1127831010 + ... + 1127831070.

Almost surely, 268797693440 is an apocalyptic number.

68797693440 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 68797693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150019741872).

68797693440 is an abundant number, since it is smaller than the sum of its proper divisors (231241790304).

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

68797693440 is an equidigital number, since it uses as much as digits as its factorization.

68797693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 68797693440 in words is "sixty-eight billion, seven hundred ninety-seven million, six hundred ninety-three thousand, four hundred forty".