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38972718000 = 2433532331379
BaseRepresentation
bin100100010010111101…
…000111101110110000
310201121002001012112000
4210102331013232300
51114304003434000
625523120334000
72546531431356
oct442275075660
9121532035460
1038972718000
111558a0a0957
127677a74300
1338a12b25a8
141c59d9b7d6
151031717000
hex912f47bb0

38972718000 has 320 divisors, whose sum is σ = 145683532800. Its totient is φ = 9940550400.

The previous prime is 38972717999. The next prime is 38972718007. The reversal of 38972718000 is 81727983.

38972718000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38972718007) 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, 1226311 + ... + 1257689.

It is an arithmetic number, because the mean of its divisors is an integer number (455261040).

Almost surely, 238972718000 is an apocalyptic number.

38972718000 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 38972718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72841766400).

38972718000 is an abundant number, since it is smaller than the sum of its proper divisors (106710814800).

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

38972718000 is a wasteful number, since it uses less digits than its factorization.

38972718000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31434 (or 31412 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 38972718000 in words is "thirty-eight billion, nine hundred seventy-two million, seven hundred eighteen thousand".