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38300033712 = 2431985948889
BaseRepresentation
bin100011101010110111…
…000010001010110000
310122212012021022011010
4203222313002022300
51111414302034322
625332250350520
72524052625603
oct435267021260
9118765238133
1038300033712
1115274409226
12750a72b440
1337c4b18455
141bd48d433a
15ee263d20c
hex8eadc22b0

38300033712 has 80 divisors (see below), whose sum is σ = 104272592000. Its totient is φ = 12080420352.

The previous prime is 38300033699. The next prime is 38300033713. The reversal of 38300033712 is 21733000383.

It is a self number, because there is not a number n which added to its sum of digits gives 38300033712.

It is not an unprimeable number, because it can be changed into a prime (38300033713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758964 + ... + 807852.

It is an arithmetic number, because the mean of its divisors is an integer number (1303407400).

Almost surely, 238300033712 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 38300033712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52136296000).

38300033712 is an abundant number, since it is smaller than the sum of its proper divisors (65972558288).

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

38300033712 is a wasteful number, since it uses less digits than its factorization.

38300033712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49778 (or 49772 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 38300033712 in words is "thirty-eight billion, three hundred million, thirty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 859 912 1718 2577 3436 5154 6872 10308 13744 16321 20616 32642 41232 48889 48963 65284 97778 97926 130568 146667 195556 195852 261136 293334 391112 391704 586668 782224 783408 928891 1173336 1857782 2346672 2786673 3715564 5573346 7431128 11146692 14862256 22293384 41995651 44586768 83991302 125986953 167982604 251973906 335965208 503947812 671930416 797917369 1007895624 1595834738 2015791248 2393752107 3191669476 4787504214 6383338952 9575008428 12766677904 19150016856 38300033712