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378948616488 = 233313295387803
BaseRepresentation
bin1011000001110110001…
…10010000000100101000
31100020010120200021201000
411200323012100010220
522202041321211423
6450030411555000
736243462044031
oct5407306200450
91306116607630
10378948616488
11136790684392
126153915ba60
13299721a54b0
14144ac3d5a88
159ccd6eb843
hex583b190128

378948616488 has 256 divisors, whose sum is σ = 1194836832000. Its totient is φ = 110453511168.

The previous prime is 378948616481. The next prime is 378948616523. The reversal of 378948616488 is 884616849873.

378948616488 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 486 + 1 + 64 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (378948616481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4271995 + ... + 4359797.

It is an arithmetic number, because the mean of its divisors is an integer number (4667331375).

Almost surely, 2378948616488 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 378948616488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597418416000).

378948616488 is an abundant number, since it is smaller than the sum of its proper divisors (815888215512).

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

378948616488 is a wasteful number, since it uses less digits than its factorization.

378948616488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87913 (or 87903 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 378948616488 in words is "three hundred seventy-eight billion, nine hundred forty-eight million, six hundred sixteen thousand, four hundred eighty-eight".