Search a number
-
+
38946259050 = 23522943120773
BaseRepresentation
bin100100010001011000…
…001100000001101010
310201112020020221122220
4210101120030001222
51114230220242200
625520333254510
72546060511516
oct442130140152
9121466227586
1038946259050
1115576169956
12766b034436
13389897a2ca
141c56671146
15102e23c4a0
hex91160c06a

38946259050 has 96 divisors (see below), whose sum is σ = 100153946880. Its totient is φ = 10003795200.

The previous prime is 38946259019. The next prime is 38946259057. The reversal of 38946259050 is 5095264983.

It is a super-2 number, since 2×389462590502 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38946258984 and 38946259002.

It is not an unprimeable number, because it can be changed into a prime (38946259057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864464 + ... + 1885236.

It is an arithmetic number, because the mean of its divisors is an integer number (1043270280).

Almost surely, 238946259050 is an apocalyptic number.

38946259050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38946259050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50076973440).

38946259050 is an abundant number, since it is smaller than the sum of its proper divisors (61207687830).

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

38946259050 is a wasteful number, since it uses less digits than its factorization.

38946259050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21243 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 38946259050 in words is "thirty-eight billion, nine hundred forty-six million, two hundred fifty-nine thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 431 435 725 862 870 1293 1450 2155 2175 2586 4310 4350 6465 10775 12499 12930 20773 21550 24998 32325 37497 41546 62319 62495 64650 74994 103865 124638 124990 187485 207730 311595 312475 374970 519325 602417 623190 624950 937425 1038650 1204834 1557975 1807251 1874850 3012085 3115950 3614502 6024170 8953163 9036255 15060425 17906326 18072510 26859489 30120850 44765815 45181275 53718978 89531630 90362550 134297445 223829075 259641727 268594890 447658150 519283454 671487225 778925181 1298208635 1342974450 1557850362 2596417270 3894625905 6491043175 7789251810 12982086350 19473129525 38946259050