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11258663340 = 22354318012423
BaseRepresentation
bin10100111110001000…
…11001000110101100
31002001122011100122010
422133010121012230
5141024204211330
65101104121220
7546000026241
oct123704310654
932048140563
1011258663340
114858249451
122222606210
1310a56b1392
1478b3a35c8
1545d6353b0
hex29f1191ac

11258663340 has 96 divisors (see below), whose sum is σ = 32288610816. Its totient is φ = 2929651200.

The previous prime is 11258663329. The next prime is 11258663387. The reversal of 11258663340 is 4336685211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4645369 + ... + 4647791.

It is an arithmetic number, because the mean of its divisors is an integer number (336339696).

Almost surely, 211258663340 is an apocalyptic number.

11258663340 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 11258663340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144305408).

11258663340 is an abundant number, since it is smaller than the sum of its proper divisors (21029947476).

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

11258663340 is a wasteful number, since it uses less digits than its factorization.

11258663340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 11258663340 in words is "eleven billion, two hundred fifty-eight million, six hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1801 2423 2580 3602 4846 5403 7204 7269 9005 9692 10806 12115 14538 18010 21612 24230 27015 29076 36020 36345 48460 54030 72690 77443 104189 108060 145380 154886 208378 232329 309772 312567 387215 416756 464658 520945 625134 774430 929316 1041890 1161645 1250268 1548860 1562835 2083780 2323290 3125670 4363823 4646580 6251340 8727646 13091469 17455292 21819115 26182938 43638230 52365876 65457345 87276460 130914690 187644389 261829380 375288778 562933167 750577556 938221945 1125866334 1876443890 2251732668 2814665835 3752887780 5629331670 11258663340