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2040631197696 = 21633713192329
BaseRepresentation
bin11101101100011111000…
…110010000000000000000
321020002020002121112221000
4131230133012100000000
5231413203041311241
64201241504332000
7300300512662260
oct35543706200000
97202202545830
102040631197696
11717477126013
1228b5a3314000
1311a57a3166a0
1470aa4c057a0
15381350e5eb6
hex1db1f190000

2040631197696 has 2176 divisors, whose sum is σ = 8455652352000. Its totient is φ = 470877732864.

The previous prime is 2040631197691. The next prime is 2040631197739. The reversal of 2040631197696 is 6967911360402.

It is a super-2 number, since 2×20406311976962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2040631197691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70366593010 + ... + 70366593038.

Almost surely, 22040631197696 is an apocalyptic number.

2040631197696 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 2040631197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227826176000).

2040631197696 is an abundant number, since it is smaller than the sum of its proper divisors (6415021154304).

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

2040631197696 is a wasteful number, since it uses less digits than its factorization.

2040631197696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2040631197696 in words is "two trillion, forty billion, six hundred thirty-one million, one hundred ninety-seven thousand, six hundred ninety-six".