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10557751380 = 22351189179737
BaseRepresentation
bin10011101010100101…
…01000000001010100
31000020210021100011220
421311102220001110
5133110241021010
64503345130340
7522426256161
oct116522500124
930223240156
1010557751380
114528636970
1220679299b0
13cc3412b87
1472226d068
1541bd32970
hex2754a8054

10557751380 has 96 divisors (see below), whose sum is σ = 32611662720. Its totient is φ = 2530682880.

The previous prime is 10557751367. The next prime is 10557751381. The reversal of 10557751380 is 8315775501.

It is a super-2 number, since 2×105577513802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557751381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31129 + ... + 148608.

It is an arithmetic number, because the mean of its divisors is an integer number (339704820).

Almost surely, 210557751380 is an apocalyptic number.

10557751380 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 10557751380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305831360).

10557751380 is an abundant number, since it is smaller than the sum of its proper divisors (22053911340).

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

10557751380 is a wasteful number, since it uses less digits than its factorization.

10557751380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179849 (or 179847 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 42.

The spelling of 10557751380 in words is "ten billion, five hundred fifty-seven million, seven hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 58740 179737 359474 539211 718948 898685 1078422 1797370 1977107 2156844 2696055 3594740 3954214 5392110 5931321 7908428 9885535 10784220 11862642 15996593 19771070 23725284 29656605 31993186 39542140 47989779 59313210 63986372 79982965 95979558 118626420 159965930 175962523 191959116 239948895 319931860 351925046 479897790 527887569 703850092 879812615 959795580 1055775138 1759625230 2111550276 2639437845 3519250460 5278875690 10557751380