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38260442254384 = 24718110191852163
BaseRepresentation
bin10001011001100001101000…
…00100011100110000110000
312000110122220000010111120001
420230300310010130300300
520003324341204120014
6213212334324355344
711026140266136520
oct1054606404346060
9160418800114501
1038260442254384
1111211187228839
12435b168845b54
131846c375c6a2c
14963b5b203680
15465396674974
hex22cc3411cc30

38260442254384 has 80 divisors (see below), whose sum is σ = 85271259790080. Its totient is φ = 16290727914240.

The previous prime is 38260442254381. The next prime is 38260442254393. The reversal of 38260442254384 is 48345224406283.

It is a super-2 number, since 2×382604422543842 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38260442254381) 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, 19731087 + ... + 21583249.

It is an arithmetic number, because the mean of its divisors is an integer number (1065890747376).

Almost surely, 238260442254384 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 38260442254384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42635629895040).

38260442254384 is an abundant number, since it is smaller than the sum of its proper divisors (47010817535696).

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

38260442254384 is a wasteful number, since it uses less digits than its factorization.

38260442254384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853378 (or 1853372 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 55.

The spelling of 38260442254384 in words is "thirty-eight trillion, two hundred sixty billion, four hundred forty-two million, two hundred fifty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1019 1267 1448 2038 2534 2896 4076 5068 7133 8152 10136 14266 16304 20272 28532 57064 114128 184439 368878 737756 1291073 1475512 1852163 2582146 2951024 3704326 5164292 7408652 10328584 12965141 14817304 20657168 25930282 29634608 51860564 103721128 207442256 335241503 670483006 1340966012 1887354097 2346690521 2681932024 3774708194 4693381042 5363864048 7549416388 9386762084 13211478679 15098832776 18773524168 26422957358 30197665552 37547048336 52845914716 105691829432 211383658864 341611091557 683222183114 1366444366228 2391277640899 2732888732456 4782555281798 5465777464912 9565110563596 19130221127192 38260442254384