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674910652416 = 211372111361257
BaseRepresentation
bin10011101001000111100…
…11110100100000000000
32101112001200110111002020
421310203303310200000
542024204111334131
61234014421321440
766521625614400
oct11644363644000
92345050414066
10674910652416
112402565174a0
12aa976266280
134b84a57c740
1424947140800
1512851636996
hex9d23cf4800

674910652416 has 1152 divisors, whose sum is σ = 2509050660480. Its totient is φ = 158544691200.

The previous prime is 674910652411. The next prime is 674910652417. The reversal of 674910652416 is 614256019476.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (674910652411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626111360 + ... + 2626111616.

It is an arithmetic number, because the mean of its divisors is an integer number (2177995365).

Almost surely, 2674910652416 is an apocalyptic number.

674910652416 is a gapful number since it is divisible by the number (66) 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 674910652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254525330240).

674910652416 is an abundant number, since it is smaller than the sum of its proper divisors (1834140008064).

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

674910652416 is a wasteful number, since it uses less digits than its factorization.

674910652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 674910652416 in words is "six hundred seventy-four billion, nine hundred ten million, six hundred fifty-two thousand, four hundred sixteen".