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3290764029696 = 283411131797673
BaseRepresentation
bin101111111000110000110…
…100100010111100000000
3102122121001000002101210000
4233320300310202330000
5412403441042422241
610555431153440000
7456515125505343
oct57706064427400
912577030071700
103290764029696
111059672560870
12451932270000
131ab41903b910
14b53b955a45a
155a901163eb6
hex2fe30d22f00

3290764029696 has 1440 divisors, whose sum is σ = 12350201105088. Its totient is φ = 856141332480.

The previous prime is 3290764029671. The next prime is 3290764029701. The reversal of 3290764029696 is 6969204670923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4889693616 + ... + 4889694288.

Almost surely, 23290764029696 is an apocalyptic number.

3290764029696 is a gapful number since it is divisible by the number (36) 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 3290764029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175100552544).

3290764029696 is an abundant number, since it is smaller than the sum of its proper divisors (9059437075392).

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

3290764029696 is a wasteful number, since it uses less digits than its factorization.

3290764029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3290764029696 in words is "three trillion, two hundred ninety billion, seven hundred sixty-four million, twenty-nine thousand, six hundred ninety-six".