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2038102668 = 223372385129
BaseRepresentation
bin111100101111010…
…1111101010001100
312021001001100021000
41321132233222030
513133223241133
6534123340300
7101335405200
oct17136575214
95231040230
102038102668
11956501778
1248a681690
13266328414
14154976b00
15bdddc413
hex797afa8c

2038102668 has 72 divisors (see below), whose sum is σ = 6146674800. Its totient is φ = 582313536.

The previous prime is 2038102663. The next prime is 2038102669. The reversal of 2038102668 is 8662018302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2038102663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187273 + ... + 197856.

Almost surely, 22038102668 is an apocalyptic number.

2038102668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2038102668 is an abundant number, since it is smaller than the sum of its proper divisors (4108572132).

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

2038102668 is a wasteful number, since it uses less digits than its factorization.

2038102668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385156 (or 385141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2038102668 is about 45145.3504582698. The cubic root of 2038102668 is about 1267.8718295683.

The spelling of 2038102668 in words is "two billion, thirty-eight million, one hundred two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 385129 770258 1155387 1540516 2310774 2695903 3466161 4621548 5391806 6932322 8087709 10398483 10783612 13864644 16175418 18871321 20796966 24263127 32350836 37742642 41593932 48526254 56613963 72789381 75485284 97052508 113227926 145578762 169841889 226455852 291157524 339683778 509525667 679367556 1019051334 2038102668