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2693382387696 = 2434721121359457
BaseRepresentation
bin100111001100011010000…
…110011011011111110000
3100112111002110010201020000
4213030122012123133300
5323112021342401241
65421153415550000
7365406345361200
oct47143206333760
910474073121200
102693382387696
11949291161400
12375bb438b300
13166ca59b1290
1494508d36400
154a0db100eb6
hex2731a19b7f0

2693382387696 has 1800 divisors, whose sum is σ = 10940025262320. Its totient is φ = 633431715840.

The previous prime is 2693382387569. The next prime is 2693382387733. The reversal of 2693382387696 is 6967832833962.

2693382387696 is a `hidden beast` number, since 2 + 6 + 93 + 382 + 3 + 8 + 76 + 96 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5893615500 + ... + 5893615956.

Almost surely, 22693382387696 is an apocalyptic number.

2693382387696 is a gapful number since it is divisible by the number (26) 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 2693382387696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470012631160).

2693382387696 is an abundant number, since it is smaller than the sum of its proper divisors (8246642874624).

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

2693382387696 is a wasteful number, since it uses less digits than its factorization.

2693382387696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 552 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 2693382387696 in words is "two trillion, six hundred ninety-three billion, three hundred eighty-two million, three hundred eighty-seven thousand, six hundred ninety-six".