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10033423897392 = 243472199418837
BaseRepresentation
bin1001001000000001011010…
…1010101101001100110000
31022112012000120012011110000
42102000112222231030300
52303341423004204032
633201142531110000
72053614411651300
oct222002652551460
938465016164400
1010033423897392
113219173245915
121160665442300
1357a1bc9927bc
142698981a5600
15125ed4444e7c
hex92016aad330

10033423897392 has 600 divisors, whose sum is σ = 35600558851440. Its totient is φ = 2712620897280.

The previous prime is 10033423897349. The next prime is 10033423897403. The reversal of 10033423897392 is 29379832433001.

10033423897392 is a `hidden beast` number, since 1 + 0 + 0 + 334 + 238 + 9 + 73 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1135383598 + ... + 1135392434.

Almost surely, 210033423897392 is an apocalyptic number.

10033423897392 is a gapful number since it is divisible by the number (12) 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 10033423897392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800279425720).

10033423897392 is an abundant number, since it is smaller than the sum of its proper divisors (25567134954048).

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

10033423897392 is a wasteful number, since it uses less digits than its factorization.

10033423897392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 10033423897392 in words is "ten trillion, thirty-three billion, four hundred twenty-three million, eight hundred ninety-seven thousand, three hundred ninety-two".