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37946068380 = 2231051123127
BaseRepresentation
bin100011010101110000…
…110000110110011100
310121221112020000000000
4203111300300312130
51110203143142010
625233203534300
72512224154653
oct432560606634
9117845200000
1037946068380
11151026258a0
12743008a390
1337696a43cc
141b9d8b419a
15ec151e7c0
hex8d5c30d9c

37946068380 has 528 divisors, whose sum is σ = 137136513024. Its totient is φ = 8729804160.

The previous prime is 37946068333. The next prime is 37946068397. The reversal of 37946068380 is 8386064973.

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

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 175 ways as a sum of consecutive naturals, for example, 298787877 + ... + 298788003.

Almost surely, 237946068380 is an apocalyptic number.

37946068380 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 37946068380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68568256512).

37946068380 is an abundant number, since it is smaller than the sum of its proper divisors (99190444644).

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

37946068380 is a wasteful number, since it uses less digits than its factorization.

37946068380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 37946068380 in words is "thirty-seven billion, nine hundred forty-six million, sixty-eight thousand, three hundred eighty".