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38098818035776 = 267715532
BaseRepresentation
bin10001010100110100100101…
…00000111111000001000000
311222220012201010122111111101
420222122102200333001000
514443202334404121101
6213010204432424144
711011356141014221
oct1052322240770100
9158805633574441
1038098818035776
1111159688602153
1243339810a8054
13183491a9c4a14
14959dc7ad3248
15461087302401
hex22a69283f040

38098818035776 has 21 divisors (see below), whose sum is σ = 75602440027101. Its totient is φ = 19049384328192.

The previous prime is 38098818035737. The next prime is 38098818035791. The reversal of 38098818035776 is 67753081889083.

The square root of 38098818035776 is 6172424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 298159681600 + 37800658354176 = 546040^2 + 6148224^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38098818035699 and 38098818035708.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 48993616 + ... + 49765168.

Almost surely, 238098818035776 is an apocalyptic number.

38098818035776 is the 6172424-th square number.

It is an amenable number.

38098818035776 is a deficient number, since it is larger than the sum of its proper divisors (37503621991325).

38098818035776 is an frugal number, since it uses more digits than its factorization.

38098818035776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543118 (or 771555 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 73.

The spelling of 38098818035776 in words is "thirty-eight trillion, ninety-eight billion, eight hundred eighteen million, thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 771553 1543106 3086212 6172424 12344848 24689696 49379392 595294031809 1190588063618 2381176127236 4762352254472 9524704508944 19049409017888 38098818035776