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11285068340 = 2257137578191
BaseRepresentation
bin10101000001010010…
…00111101000110100
31002010110211212111002
422200221013220310
5141102434141330
65103450102432
7546440332610
oct124051075064
932113755432
1011285068340
114871143967
12222b41aa18
1310aacc7c40
14790ab8340
15460aede45
hex2a0a47a34

11285068340 has 96 divisors (see below), whose sum is σ = 29209657344. Its totient is φ = 3566384640.

The previous prime is 11285068331. The next prime is 11285068343. The reversal of 11285068340 is 4386058211.

It is a junction number, because it is equal to n+sod(n) for n = 11285068294 and 11285068303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285068343) 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, 1373645 + ... + 1381835.

It is an arithmetic number, because the mean of its divisors is an integer number (304267264).

Almost surely, 211285068340 is an apocalyptic number.

11285068340 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 11285068340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604828672).

11285068340 is an abundant number, since it is smaller than the sum of its proper divisors (17924589004).

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

11285068340 is a wasteful number, since it uses less digits than its factorization.

11285068340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 11285068340 in words is "eleven billion, two hundred eighty-five million, sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 757 910 1514 1820 3028 3785 5299 7570 8191 9841 10598 15140 16382 19682 21196 26495 32764 39364 40955 49205 52990 57337 68887 81910 98410 105980 106483 114674 137774 163820 196820 212966 229348 275548 286685 344435 425932 532415 573370 688870 745381 1064830 1146740 1377740 1490762 2129660 2981524 3726905 6200587 7453810 12401174 14907620 24802348 31002935 43404109 62005870 80607631 86808218 124011740 161215262 173616436 217020545 322430524 403038155 434041090 564253417 806076310 868082180 1128506834 1612152620 2257013668 2821267085 5642534170 11285068340