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379365488640 = 21132523178973
BaseRepresentation
bin1011000010100111111…
…00011111100000000000
31100021012122002120210100
411201103330133200000
522203420031114030
6450140023002400
736260013306525
oct5412374374000
91307178076710
10379365488640
11136984a23626
1261634899400
1329a0a6735c8
141450b90d14c
159d050e4360
hex5853f1f800

379365488640 has 288 divisors, whose sum is σ = 1371986048160. Its totient is φ = 96765149184.

The previous prime is 379365488639. The next prime is 379365488641. The reversal of 379365488640 is 46884563973.

379365488640 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 6 + 548 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (379365488639) and next prime (379365488641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379365488641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2030194 + ... + 2209166.

It is an arithmetic number, because the mean of its divisors is an integer number (4763840445).

Almost surely, 2379365488640 is an apocalyptic number.

379365488640 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 379365488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685993024080).

379365488640 is an abundant number, since it is smaller than the sum of its proper divisors (992620559520).

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

379365488640 is a wasteful number, since it uses less digits than its factorization.

379365488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179029 (or 179006 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 379365488640 in words is "three hundred seventy-nine billion, three hundred sixty-five million, four hundred eighty-eight thousand, six hundred forty".