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378918182940 = 22351119971512063
BaseRepresentation
bin1011000001110010100…
…10001010000000011100
31100020001110102002201120
411200321102022000130
522202011023323230
6450023403410540
736242642261343
oct5407122120034
91306043362646
10378918182940
111367754881a0
126152ab23a50
1329968aab08b
14144a8352b5a
159ccabd9310
hex583948a01c

378918182940 has 384 divisors, whose sum is σ = 1239652270080. Its totient is φ = 85515264000.

The previous prime is 378918182939. The next prime is 378918182957. The reversal of 378918182940 is 49281819873.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 183672349 + ... + 183674411.

It is an arithmetic number, because the mean of its divisors is an integer number (3228261120).

Almost surely, 2378918182940 is an apocalyptic number.

378918182940 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 378918182940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619826135040).

378918182940 is an abundant number, since it is smaller than the sum of its proper divisors (860734087140).

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

378918182940 is a wasteful number, since it uses less digits than its factorization.

378918182940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 378918182940 in words is "three hundred seventy-eight billion, nine hundred eighteen million, one hundred eighty-two thousand, nine hundred forty".