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614130552664032 = 253171939235048573
BaseRepresentation
bin1000101110100011000110100…
…1011011111110111111100000
32222112110022022010200121121210
42023220301221123332333200
51120443403332440222112
610014051403040150120
7243233316413153415
oct21350615133767740
92875408263617553
10614130552664032
111687543396a0398
1258a66747608340
132048a354c99321
14ab9211234a10c
154aeee296ebb3c
hex22e8c696fefe0

614130552664032 has 192 divisors, whose sum is σ = 1797218028990720. Its totient is φ = 182481402322944.

The previous prime is 614130552664021. The next prime is 614130552664033. The reversal of 614130552664032 is 230466255031416.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614130552664033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119120098 + ... + 124168670.

It is an arithmetic number, because the mean of its divisors is an integer number (9360510567660).

Almost surely, 2614130552664032 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 614130552664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898609014495360).

614130552664032 is an abundant number, since it is smaller than the sum of its proper divisors (1183087476326688).

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

614130552664032 is a wasteful number, since it uses less digits than its factorization.

614130552664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052545 (or 5052537 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 614130552664032 in words is "six hundred fourteen trillion, one hundred thirty billion, five hundred fifty-two million, six hundred sixty-four thousand, thirty-two".