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378091541664 = 25333156924809
BaseRepresentation
bin1011000000010000000…
…00110001010010100000
31100010220211221101002000
411200020000301102200
522143312413313124
6445405353524000
736213314035434
oct5401000612240
91303824841060
10378091541664
11136390900391
126133a113600
132986675ac25
141442a6509c4
159c7d34d6c9
hex58080314a0

378091541664 has 192 divisors, whose sum is σ = 1140386688000. Its totient is φ = 121745756160.

The previous prime is 378091541627. The next prime is 378091541671. The reversal of 378091541664 is 466145190873.

378091541664 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 91 + 541 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 378091541664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15227692 + ... + 15252500.

It is an arithmetic number, because the mean of its divisors is an integer number (5939514000).

Almost surely, 2378091541664 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 378091541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570193344000).

378091541664 is an abundant number, since it is smaller than the sum of its proper divisors (762295146336).

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

378091541664 is a wasteful number, since it uses less digits than its factorization.

378091541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25428 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 378091541664 in words is "three hundred seventy-eight billion, ninety-one million, five hundred forty-one thousand, six hundred sixty-four".