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3690066246048 = 253471382718917
BaseRepresentation
bin110101101100101001000…
…101100111100110100000
3111001202201001122200120000
4311230221011213212200
5440424223424333143
611503105410020000
7530412165365610
oct65545105474640
914052631580500
103690066246048
1111a2a48217a66
124b71ab877600
13209c82c35610
14ca858ba0a40
1565ec1676bd3
hex35b291679a0

3690066246048 has 480 divisors, whose sum is σ = 13373636056704. Its totient is φ = 971976112128.

The previous prime is 3690066245923. The next prime is 3690066246073. The reversal of 3690066246048 is 8406426600963.

3690066246048 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 0 + 6 + 6 + 24 + 604 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3690066245985 and 3690066246003.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 195056686 + ... + 195075602.

Almost surely, 23690066246048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690066246048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686818028352).

3690066246048 is an abundant number, since it is smaller than the sum of its proper divisors (9683569810656).

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

3690066246048 is a wasteful number, since it uses less digits than its factorization.

3690066246048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19786 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3690066246048 in words is "three trillion, six hundred ninety billion, sixty-six million, two hundred forty-six thousand, forty-eight".