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378117940704 = 253753591031747
BaseRepresentation
bin1011000000010011001…
…01011110010111100000
31100010222200121120202020
411200021211132113200
522143341143100304
6445412135421440
736214054315530
oct5401145362740
91303880546666
10378117940704
111363a47a1379
1261346b24880
132986c071b6a
141442dd634c0
159c808155d9
hex580995e5e0

378117940704 has 384 divisors, whose sum is σ = 1187436257280. Its totient is φ = 103128090624.

The previous prime is 378117940667. The next prime is 378117940721. The reversal of 378117940704 is 407049711873.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 216437559 + ... + 216439305.

It is an arithmetic number, because the mean of its divisors is an integer number (3092281920).

Almost surely, 2378117940704 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 378117940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593718128640).

378117940704 is an abundant number, since it is smaller than the sum of its proper divisors (809318316576).

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

378117940704 is a wasteful number, since it uses less digits than its factorization.

378117940704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 378117940704 in words is "three hundred seventy-eight billion, one hundred seventeen million, nine hundred forty thousand, seven hundred four".