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361327340640 = 2535738924659
BaseRepresentation
bin1010100001000001100…
…10011010110001100000
31021112122112010201112210
411100200302122301200
521404444244400030
6433554054522120
735051012502000
oct5204062326140
91245575121483
10361327340640
1112a268955aa2
125a03b966340
13280c4577456
14136b9dd2000
1595eb702bb0
hex5420c9ac60

361327340640 has 384 divisors, whose sum is σ = 1342293120000. Its totient is φ = 81657827328.

The previous prime is 361327340639. The next prime is 361327340681. The reversal of 361327340640 is 46043723163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14640631 + ... + 14665289.

It is an arithmetic number, because the mean of its divisors is an integer number (3495555000).

Almost surely, 2361327340640 is an apocalyptic number.

361327340640 is a gapful number since it is divisible by the number (30) 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 361327340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671146560000).

361327340640 is an abundant number, since it is smaller than the sum of its proper divisors (980965779360).

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

361327340640 is a wasteful number, since it uses less digits than its factorization.

361327340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24787 (or 24765 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 361327340640 in words is "three hundred sixty-one billion, three hundred twenty-seven million, three hundred forty thousand, six hundred forty".