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38750145100304 = 24112697271125833
BaseRepresentation
bin10001100111110001110001…
…01000100011101000010000
312002012110220020102120220112
420303320320220203220100
520034340244121202204
6214225323152100452
711106414501506621
oct1063707050435020
9162173806376815
1038750145100304
111138a931770a40
12441a055234728
13188117a314a11
1497d734a31a48
15472ea829e26e
hex233e38a23a10

38750145100304 has 80 divisors (see below), whose sum is σ = 82321342346880. Its totient is φ = 17524070446080.

The previous prime is 38750145100301. The next prime is 38750145100321. The reversal of 38750145100304 is 40300154105783.

It is a super-2 number, since 2×387501451003042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38750145100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33856172 + ... + 34982004.

It is an arithmetic number, because the mean of its divisors is an integer number (1029016779336).

Almost surely, 238750145100304 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 38750145100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160671173440).

38750145100304 is an abundant number, since it is smaller than the sum of its proper divisors (43571197246576).

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

38750145100304 is a wasteful number, since it uses less digits than its factorization.

38750145100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126848 (or 1126842 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 38750145100304 in words is "thirty-eight trillion, seven hundred fifty billion, one hundred forty-five million, one hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 727 1076 1454 2152 2908 2959 4304 5816 5918 7997 11632 11836 15994 23672 31988 47344 63976 127952 195563 391126 782252 1125833 1564504 2151193 2251666 3129008 4302386 4503332 8604772 9006664 12384163 17209544 18013328 24768326 34419088 49536652 99073304 198146608 302849077 605698154 818480591 1211396308 1636961182 2422792616 3273922364 3331339847 4845585232 6547844728 6662679694 9003286501 13095689456 13325359388 18006573002 26650718776 36013146004 53301437552 72026292008 144052584016 220171278979 440342557958 880685115916 1761370231832 2421884068769 3522740463664 4843768137538 9687536275076 19375072550152 38750145100304