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38206482976 = 2537831392797
BaseRepresentation
bin100011100101010010…
…001010101000100000
310122121200020102200001
4203211102022220200
51111221324423401
625315105305344
72521535514124
oct434522125040
9118550212601
1038206482976
1115226622172
1274a3335254
1337ab62229c
141bc6301584
15ed930e601
hex8e548aa20

38206482976 has 96 divisors (see below), whose sum is σ = 78773325120. Its totient is φ = 18224372736.

The previous prime is 38206482953. The next prime is 38206482989. The reversal of 38206482976 is 67928460283.

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, 13658410 + ... + 13661206.

It is an arithmetic number, because the mean of its divisors is an integer number (820555470).

Almost surely, 238206482976 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 38206482976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39386662560).

38206482976 is an abundant number, since it is smaller than the sum of its proper divisors (40566842144).

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

38206482976 is a wasteful number, since it uses less digits than its factorization.

38206482976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 38206482976 in words is "thirty-eight billion, two hundred six million, four hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 74 83 139 148 166 278 296 332 556 592 664 1112 1184 1328 2224 2656 2797 3071 4448 5143 5594 6142 10286 11188 11537 12284 20572 22376 23074 24568 41144 44752 46148 49136 82288 89504 92296 98272 103489 164576 184592 206978 232151 369184 388783 413956 426869 464302 777566 827912 853738 928604 1555132 1655824 1707476 1857208 3110264 3311648 3414952 3714416 6220528 6829904 7428832 8589587 12441056 13659808 14384971 17179174 28769942 32268989 34358348 57539884 64537978 68716696 115079768 129075956 137433392 230159536 258151912 274866784 460319072 516303824 1032607648 1193952593 2387905186 4775810372 9551620744 19103241488 38206482976