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36290330457696 = 2533731367152727
BaseRepresentation
bin10000100000001100000000…
…10000010111011001100000
311202111022200112012200202000
420100012000100113121200
514224040044044121241
6205103314143324000
710433614135153440
oct1020060020273140
9152438615180660
1036290330457696
1110621708502527
1240a13862b0600
131733218213683
148d6665dba120
1542dedc58aeb6
hex210180417660

36290330457696 has 384 divisors, whose sum is σ = 124906338385920. Its totient is φ = 10031269132800.

The previous prime is 36290330457691. The next prime is 36290330457757. The reversal of 36290330457696 is 69675403309263.

It is a happy number.

36290330457696 is a `hidden beast` number, since 3 + 6 + 2 + 90 + 3 + 3 + 0 + 457 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36290330457691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688242085 + ... + 688294811.

It is an arithmetic number, because the mean of its divisors is an integer number (325276922880).

Almost surely, 236290330457696 is an apocalyptic number.

36290330457696 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 36290330457696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62453169192960).

36290330457696 is an abundant number, since it is smaller than the sum of its proper divisors (88616007928224).

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

36290330457696 is a wasteful number, since it uses less digits than its factorization.

36290330457696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56455 (or 56441 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 36290330457696 in words is "thirty-six trillion, two hundred ninety billion, three hundred thirty million, four hundred fifty-seven thousand, six hundred ninety-six".