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379318173696 = 2213471129
BaseRepresentation
bin1011000010100010010…
…00000000000000000000
31100021002100001201220000
411201101020000000000
522203320423024241
6450131212520000
736255600164220
oct5412110000000
91307070051800
10379318173696
11136960247170
1261620a80000
1329a009183b7
1414505514080
159d00d99eb6
hex5851200000

379318173696 has 880 divisors, whose sum is σ = 1461630709440. Its totient is φ = 95126814720.

The previous prime is 379318173691. The next prime is 379318173713. The reversal of 379318173696 is 696371813973.

379318173696 is a `hidden beast` number, since 3 + 7 + 93 + 181 + 7 + 369 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379318173691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13079937010 + ... + 13079937038.

It is an arithmetic number, because the mean of its divisors is an integer number (1660943988).

Almost surely, 2379318173696 is an apocalyptic number.

379318173696 is a gapful number since it is divisible by the number (36) 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 379318173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730815354720).

379318173696 is an abundant number, since it is smaller than the sum of its proper divisors (1082312535744).

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

379318173696 is an frugal number, since it uses more digits than its factorization.

379318173696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 379318173696 in words is "three hundred seventy-nine billion, three hundred eighteen million, one hundred seventy-three thousand, six hundred ninety-six".