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10663253440 = 265722321347
BaseRepresentation
bin10011110111001010…
…00101010111000000
31000112010210101210121
421323211011113000
5133314243102230
64522034310024
7525150105310
oct117345052700
930463711717
1010663253440
114582146154
122097128314
13100c231b28
14732293440
1542622277a
hex27b9455c0

10663253440 has 112 divisors (see below), whose sum is σ = 29150779392. Its totient is φ = 3639407616.

The previous prime is 10663253387. The next prime is 10663253441. The reversal of 10663253440 is 4435236601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106632534402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10663253396 and 10663253405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10663253441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488847 + ... + 510193.

It is an arithmetic number, because the mean of its divisors is an integer number (260274816).

Almost surely, 210663253440 is an apocalyptic number.

10663253440 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 10663253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575389696).

10663253440 is an abundant number, since it is smaller than the sum of its proper divisors (18487525952).

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

10663253440 is a wasteful number, since it uses less digits than its factorization.

10663253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21594 (or 21584 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 10663253440 in words is "ten billion, six hundred sixty-three million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 223 224 280 320 446 448 560 892 1115 1120 1561 1784 2230 2240 3122 3568 4460 6244 7136 7805 8920 12488 14272 15610 17840 21347 24976 31220 35680 42694 49952 62440 71360 85388 99904 106735 124880 149429 170776 213470 249760 298858 341552 426940 499520 597716 683104 747145 853880 1195432 1366208 1494290 1707760 2390864 2988580 3415520 4760381 4781728 5977160 6831040 9520762 9563456 11954320 19041524 23801905 23908640 33322667 38083048 47603810 47817280 66645334 76166096 95207620 133290668 152332192 166613335 190415240 266581336 304664384 333226670 380830480 533162672 666453340 761660960 1066325344 1332906680 1523321920 2132650688 2665813360 5331626720 10663253440