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38049563496 = 233736175773
BaseRepresentation
bin100011011011111011…
…100100001101101000
310122012201222002121110
4203123323210031220
51110411142012441
625251342110320
72514621645000
oct433373441550
9118181862543
1038049563496
1115155a9424a
12745a87b3a0
133784c6ca19
141bad535000
15eca664b16
hex8dbee4368

38049563496 has 128 divisors (see below), whose sum is σ = 112751712000. Its totient is φ = 10692944640.

The previous prime is 38049563491. The next prime is 38049563509. The reversal of 38049563496 is 69436594083.

It is a super-2 number, since 2×380495634962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38049563491) 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 31 ways as a sum of consecutive naturals, for example, 464266 + ... + 540038.

It is an arithmetic number, because the mean of its divisors is an integer number (880872750).

Almost surely, 238049563496 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 38049563496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56375856000).

38049563496 is an abundant number, since it is smaller than the sum of its proper divisors (74702148504).

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

38049563496 is a wasteful number, since it uses less digits than its factorization.

38049563496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75864 (or 75846 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 38049563496 in words is "thirty-eight billion, forty-nine million, five hundred sixty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 343 366 392 427 488 588 686 732 854 1029 1176 1281 1372 1464 1708 2058 2562 2744 2989 3416 4116 5124 5978 8232 8967 10248 11956 17934 20923 23912 35868 41846 62769 71736 75773 83692 125538 151546 167384 227319 251076 303092 454638 502152 530411 606184 909276 1060822 1591233 1818552 2121644 3182466 3712877 4243288 4622153 6364932 7425754 9244306 11138631 12729864 13866459 14851508 18488612 22277262 25990139 27732918 29703016 32355071 36977224 44554524 51980278 55465836 64710142 77970417 89109048 97065213 103960556 110931672 129420284 155940834 194130426 207921112 226485497 258840568 311881668 388260852 452970994 623763336 679456491 776521704 905941988 1358912982 1585398479 1811883976 2717825964 3170796958 4756195437 5435651928 6341593916 9512390874 12683187832 19024781748 38049563496