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264968009320 = 235711319343391
BaseRepresentation
bin1111011011000101010…
…0101111011001101000
3221022221002001111211211
43312301110233121220
513320123302244240
6321420304002504
725100103626620
oct3666124573150
9838832044754
10264968009320
11a2410596193
1243429300434
131bca90b6b41
14cb786a9880
156d5be0ebea
hex3db152f668

264968009320 has 128 divisors (see below), whose sum is σ = 690953379840. Its totient is φ = 89573621760.

The previous prime is 264968009297. The next prime is 264968009321. The reversal of 264968009320 is 23900869462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (264968009321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6084825 + ... + 6128215.

It is an arithmetic number, because the mean of its divisors is an integer number (5398073280).

Almost surely, 2264968009320 is an apocalyptic number.

264968009320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264968009320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345476689920).

264968009320 is an abundant number, since it is smaller than the sum of its proper divisors (425985370520).

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

264968009320 is a wasteful number, since it uses less digits than its factorization.

264968009320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43715 (or 43711 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 264968009320 in words is "two hundred sixty-four billion, nine hundred sixty-eight million, nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 193 226 280 386 452 565 772 791 904 965 1130 1351 1544 1582 1930 2260 2702 3164 3860 3955 4520 5404 6328 6755 7720 7910 10808 13510 15820 21809 27020 31640 43391 43618 54040 86782 87236 109045 152663 173564 174472 216955 218090 303737 305326 347128 433910 436180 607474 610652 763315 867820 872360 1214948 1221304 1518685 1526630 1735640 2429896 3037370 3053260 4903183 6074740 6106520 8374463 9806366 12149480 16748926 19612732 24515915 33497852 34322281 39225464 41872315 49031830 58621241 66995704 68644562 83744630 98063660 117242482 137289124 167489260 171611405 196127320 234484964 274578248 293106205 334978520 343222810 468969928 586212410 686445620 946314319 1172424820 1372891240 1892628638 2344849640 3785257276 4731571595 6624200233 7570514552 9463143190 13248400466 18926286380 26496800932 33121001165 37852572760 52993601864 66242002330 132484004660 264968009320