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38115240976 = 2437611736101
BaseRepresentation
bin100011011111110110…
…000110110000010000
310122101022112212011201
4203133312012300100
51111030000202401
625302045520544
72516350126351
oct433766066020
9118338485151
1038115240976
111518a07275a
127478873154
133795756c37
141bb814dd28
15ed12d9b01
hex8dfd86c10

38115240976 has 80 divisors (see below), whose sum is σ = 77545826928. Its totient is φ = 18130176000.

The previous prime is 38115240973. The next prime is 38115241049. The reversal of 38115240976 is 67904251183.

It can be written as a sum of positive squares in 8 ways, for example, as 2022840576 + 36092400400 = 44976^2 + 189980^2 .

It is not an unprimeable number, because it can be changed into a prime (38115240973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6244326 + ... + 6250426.

It is a 2-persistent number, because it is pandigital, and so is 2⋅38115240976 = 76230481952, but 3⋅38115240976 = 114345722928 is not.

Almost surely, 238115240976 is an apocalyptic number.

38115240976 is the 97616-th decagonal number.

It is an amenable number.

38115240976 is an abundant number, since it is smaller than the sum of its proper divisors (39430585952).

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

38115240976 is a wasteful number, since it uses less digits than its factorization.

38115240976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 38115240976 in words is "thirty-eight billion, one hundred fifteen million, two hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 37 61 74 122 148 173 244 296 346 488 592 692 976 1384 2257 2768 4514 6101 6401 9028 10553 12202 12802 18056 21106 24404 25604 36112 42212 48808 51208 84424 97616 102416 168848 225737 372161 390461 451474 744322 780922 902948 1055473 1488644 1561844 1805896 2110946 2977288 3123688 3611792 4221892 5954576 6247376 8443784 13769957 16887568 27539914 39052501 55079828 64383853 78105002 110159656 128767706 156210004 220319312 257535412 312420008 515070824 624840016 1030141648 2382202561 4764405122 9528810244 19057620488 38115240976