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38255888384 = 21172478111
BaseRepresentation
bin100011101000001110…
…101000100000000000
310122202010012111010222
4203220032220200000
51111322001412014
625324032242212
72523005454200
oct435016504000
9118663174128
1038255888384
11152514a718a
1274b79a0368
1337b892cb5c
141bccac2400
15edd81d08e
hex8e83a8800

38255888384 has 144 divisors (see below), whose sum is σ = 90886199040. Its totient is φ = 16044564480.

The previous prime is 38255888323. The next prime is 38255888453. The reversal of 38255888384 is 48388855283.

It is a super-2 number, since 2×382558883842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4712489 + ... + 4720599.

It is an arithmetic number, because the mean of its divisors is an integer number (631154160).

Almost surely, 238255888384 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 38255888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45443099520).

38255888384 is an abundant number, since it is smaller than the sum of its proper divisors (52630310656).

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

38255888384 is an equidigital number, since it uses as much as digits as its factorization.

38255888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194 (or 8167 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 62.

The spelling of 38255888384 in words is "thirty-eight billion, two hundred fifty-five million, eight hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 188 196 224 256 329 376 392 448 512 658 752 784 896 1024 1316 1504 1568 1792 2048 2303 2632 3008 3136 3584 4606 5264 6016 6272 7168 8111 9212 10528 12032 12544 14336 16222 18424 21056 24064 25088 32444 36848 42112 48128 50176 56777 64888 73696 84224 96256 100352 113554 129776 147392 168448 227108 259552 294784 336896 381217 397439 454216 519104 589568 673792 762434 794878 908432 1038208 1179136 1524868 1589756 1816864 2076416 2358272 2668519 3049736 3179512 3633728 4152832 4716544 5337038 6099472 6359024 7267456 8305664 10674076 12198944 12718048 14534912 16611328 18679633 21348152 24397888 25436096 29069824 37359266 42696304 48795776 50872192 58139648 74718532 85392608 97591552 101744384 116279296 149437064 170785216 195183104 203488768 298874128 341570432 390366208 406977536 597748256 683140864 780732416 813955072 1195496512 1366281728 2390993024 2732563456 4781986048 5465126912 9563972096 19127944192 38255888384