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379740072780 = 2233517195936901
BaseRepresentation
bin1011000011010100100…
…01011010101101001100
31100022011201221102122000
411201222101122231030
522210201424312110
6450241123352300
736302212234545
oct5415221325514
91308151842560
10379740072780
1113705740a1a2
126171a222690
1329a6a156623
14145455794cc
159d27e371c0
hex586a45ab4c

379740072780 has 384 divisors, whose sum is σ = 1339099776000. Its totient is φ = 88758374400.

The previous prime is 379740072773. The next prime is 379740072791. The reversal of 379740072780 is 87270047973.

379740072780 is a `hidden beast` number, since 3 + 7 + 97 + 400 + 72 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10272330 + ... + 10309230.

It is an arithmetic number, because the mean of its divisors is an integer number (3487239000).

Almost surely, 2379740072780 is an apocalyptic number.

379740072780 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 379740072780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669549888000).

379740072780 is an abundant number, since it is smaller than the sum of its proper divisors (959359703220).

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

379740072780 is a wasteful number, since it uses less digits than its factorization.

379740072780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37014 (or 37006 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 379740072780 in words is "three hundred seventy-nine billion, seven hundred forty million, seventy-two thousand, seven hundred eighty".