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38424089312 = 257331112927
BaseRepresentation
bin100011110010010000…
…010001001011100000
310200011211200222102222
4203302100101023200
51112143031324222
625352441330212
72530120241000
oct436220211340
9120154628388
1038424089312
1115328440014
127544196968
13381473232b
141c07188000
15eed495542
hex8f24112e0

38424089312 has 96 divisors (see below), whose sum is σ = 91065139200. Its totient is φ = 15936117120.

The previous prime is 38424089303. The next prime is 38424089321. The reversal of 38424089312 is 21398042483.

It is an interprime number because it is at equal distance from previous prime (38424089303) and next prime (38424089321).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283793 + ... + 396719.

It is an arithmetic number, because the mean of its divisors is an integer number (948595200).

Almost surely, 238424089312 is an apocalyptic number.

38424089312 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 38424089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532569600).

38424089312 is an abundant number, since it is smaller than the sum of its proper divisors (52641049888).

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

38424089312 is a wasteful number, since it uses less digits than its factorization.

38424089312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112989 (or 112967 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 38424089312 in words is "thirty-eight billion, four hundred twenty-four million, eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 343 392 434 496 686 784 868 992 1372 1519 1568 1736 2744 3038 3472 5488 6076 6944 10633 10976 12152 21266 24304 42532 48608 85064 112927 170128 225854 340256 451708 790489 903416 1580978 1806832 3161956 3500737 3613664 5533423 6323912 7001474 11066846 12647824 14002948 22133692 24505159 25295648 28005896 38733961 44267384 49010318 56011792 77467922 88534768 98020636 112023584 154935844 171536113 177069536 196041272 309871688 343072226 392082544 619743376 686144452 784165088 1200752791 1239486752 1372288904 2401505582 2744577808 4803011164 5489155616 9606022328 19212044656 38424089312