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11630264250 = 2353113314259
BaseRepresentation
bin10101101010011011…
…11011111110111010
31010000112101122020210
422311031323332322
5142304321424000
65202020531550
7561131420643
oct126515737672
933015348223
1011630264250
114a28a87740
122306b50bb6
13113468b587
147c48946ca
15481089350
hex2b537bfba

11630264250 has 128 divisors (see below), whose sum is σ = 31771284480. Its totient is φ = 2810280000.

The previous prime is 11630264237. The next prime is 11630264251. The reversal of 11630264250 is 5246203611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11630264251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2728621 + ... + 2732879.

It is an arithmetic number, because the mean of its divisors is an integer number (248213160).

Almost surely, 211630264250 is an apocalyptic number.

11630264250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630264250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885642240).

11630264250 is an abundant number, since it is smaller than the sum of its proper divisors (20141020230).

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

11630264250 is a wasteful number, since it uses less digits than its factorization.

11630264250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11630264250 its reverse (5246203611), we get a palindrome (16876467861).

The spelling of 11630264250 in words is "eleven billion, six hundred thirty million, two hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 330 331 375 550 662 750 825 993 1375 1650 1655 1986 2750 3310 3641 4125 4259 4965 7282 8250 8275 8518 9930 10923 12777 16550 18205 21295 21846 24825 25554 36410 41375 42590 46849 49650 54615 63885 82750 91025 93698 106475 109230 124125 127770 140547 182050 212950 234245 248250 273075 281094 319425 455125 468490 532375 546150 638850 702735 910250 1064750 1171225 1365375 1405470 1409729 1597125 2342450 2730750 2819458 3194250 3513675 4229187 5856125 7027350 7048645 8458374 11712250 14097290 15507019 17568375 21145935 31014038 35136750 35243225 42291870 46521057 70486450 77535095 93042114 105729675 155070190 176216125 211459350 232605285 352432250 387675475 465210570 528648375 775350950 1057296750 1163026425 1938377375 2326052850 3876754750 5815132125 11630264250