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378472860939264 = 2103741322343307
BaseRepresentation
bin101011000001110000001010…
…0011011101111010000000000
31211122001122121102020100020220
41112003200110123233100000
5344101344404400024024
63420540010530503040
7142501522213020000
oct12603402433572000
91748048542210226
10378472860939264
11aa658491262263
12365466ab434a80
1313324ab7401200
146966281680000
152db4e33549e79
hex15838146ef400

378472860939264 has 2640 divisors, whose sum is σ = 1365075484641792. Its totient is φ = 92952981209088.

The previous prime is 378472860939263. The next prime is 378472860939293. The reversal of 378472860939264 is 462939068274873.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 378472860939264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378472860939263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1232810621799 + ... + 1232810622105.

Almost surely, 2378472860939264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378472860939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682537742320896).

378472860939264 is an abundant number, since it is smaller than the sum of its proper divisors (986602623702528).

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

378472860939264 is a wasteful number, since it uses less digits than its factorization.

378472860939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 78.

The spelling of 378472860939264 in words is "three hundred seventy-eight trillion, four hundred seventy-two billion, eight hundred sixty million, nine hundred thirty-nine thousand, two hundred sixty-four".