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38299709952 = 293371937563
BaseRepresentation
bin100011101010110101…
…110011001000000000
310122212011122212001000
4203222311303020000
51111414211204302
625332235412000
72524050106650
oct435265631000
9118764585030
1038299709952
1115274207a59
12750a5b4000
1337c4a33c8a
141bd484c360
15ee25c731c
hex8ead73200

38299709952 has 640 divisors, whose sum is σ = 140319590400. Its totient is φ = 10068738048.

The previous prime is 38299709941. The next prime is 38299709957. The reversal of 38299709952 is 25990799283.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38299709952.

It is not an unprimeable number, because it can be changed into a prime (38299709957) 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, 68027623 + ... + 68028185.

It is an arithmetic number, because the mean of its divisors is an integer number (219249360).

Almost surely, 238299709952 is an apocalyptic number.

38299709952 is a gapful number since it is divisible by the number (32) 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 38299709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70159795200).

38299709952 is an abundant number, since it is smaller than the sum of its proper divisors (102019880448).

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

38299709952 is a wasteful number, since it uses less digits than its factorization.

38299709952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 38299709952 in words is "thirty-eight billion, two hundred ninety-nine million, seven hundred nine thousand, nine hundred fifty-two".