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553101453216 = 253313229130619
BaseRepresentation
bin10000000110001110110…
…10100110011110100000
31221212122120222000212000
420003013122212132200
533030222433000331
61102031415404000
754650240531634
oct10030732463640
91855576860760
10553101453216
111a3629395224
128b240683600
1340207604100
141caad808dc4
15e5c290c0e6
hex80c76a67a0

553101453216 has 288 divisors, whose sum is σ = 1807101576000. Its totient is φ = 164315354112.

The previous prime is 553101453209. The next prime is 553101453221. The reversal of 553101453216 is 612354101355.

553101453216 is a `hidden beast` number, since 5 + 5 + 3 + 101 + 4 + 532 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 4169155 + ... + 4299773.

It is an arithmetic number, because the mean of its divisors is an integer number (6274658250).

Almost surely, 2553101453216 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 553101453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903550788000).

553101453216 is an abundant number, since it is smaller than the sum of its proper divisors (1254000122784).

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

553101453216 is a wasteful number, since it uses less digits than its factorization.

553101453216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130693 (or 130666 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 553101453216 in words is "five hundred fifty-three billion, one hundred one million, four hundred fifty-three thousand, two hundred sixteen".