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11622553040 = 245725875051
BaseRepresentation
bin10101101001100001…
…00001010111010000
31002222222212212110102
422310300201113100
5142300333144130
65201143351532
7561006033200
oct126460412720
932888785412
1011622553040
114a246a013a
1223044525a8
131132bbb727
147c3848400
15480564645
hex2b4c215d0

11622553040 has 120 divisors (see below), whose sum is σ = 31494046752. Its totient is φ = 3977299200.

The previous prime is 11622553021. The next prime is 11622553087. The reversal of 11622553040 is 4035522611.

It is a super-2 number, since 2×116225530402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11622552994 and 11622553012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298515 + ... + 2303565.

Almost surely, 211622553040 is an apocalyptic number.

11622553040 is a gapful number since it is divisible by the number (10) 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 11622553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747023376).

11622553040 is an abundant number, since it is smaller than the sum of its proper divisors (19871493712).

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

11622553040 is a wasteful number, since it uses less digits than its factorization.

11622553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 11622553040 in words is "eleven billion, six hundred twenty-two million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 587 784 980 1174 1960 2348 2935 3920 4109 4696 5051 5870 8218 9392 10102 11740 16436 20204 20545 23480 25255 28763 32872 35357 40408 41090 46960 50510 57526 65744 70714 80816 82180 101020 115052 141428 143815 164360 176785 202040 230104 247499 282856 287630 328720 353570 404080 460208 494998 565712 575260 707140 989996 1150520 1237495 1414280 1979992 2301040 2474990 2828560 2964937 3959984 4949980 5929874 9899960 11859748 14824685 19799920 20754559 23719496 29649370 41509118 47438992 59298740 83018236 103772795 118597480 145281913 166036472 207545590 237194960 290563826 332072944 415091180 581127652 726409565 830182360 1162255304 1452819130 1660364720 2324510608 2905638260 5811276520 11622553040