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11534421340 = 22513234741039
BaseRepresentation
bin10101011111000000…
…10100110101011100
31002202212001022111101
422233200110311130
5142110302440330
65144314402444
7555555651361
oct125740246534
932685038441
1011534421340
114989975522
12229aa30424
13111a871cb0
147b5c66468
154779564ca
hex2af814d5c

11534421340 has 96 divisors (see below), whose sum is σ = 27799511040. Its totient is φ = 3986923776.

The previous prime is 11534421289. The next prime is 11534421373. The reversal of 11534421340 is 4312443511.

11534421340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11534421299 and 11534421308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260541 + ... + 301579.

It is an arithmetic number, because the mean of its divisors is an integer number (289578240).

Almost surely, 211534421340 is an apocalyptic number.

11534421340 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 11534421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

11534421340 is an abundant number, since it is smaller than the sum of its proper divisors (16265089700).

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

11534421340 is a wasteful number, since it uses less digits than its factorization.

11534421340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41131 (or 41129 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 11534421340 its reverse (4312443511), we get a palindrome (15846864851).

The spelling of 11534421340 in words is "eleven billion, five hundred thirty-four million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 47 52 65 92 94 115 130 188 230 235 260 299 460 470 598 611 940 1081 1196 1222 1495 2162 2444 2990 3055 4324 5405 5980 6110 10810 12220 14053 21620 28106 41039 56212 70265 82078 140530 164156 205195 281060 410390 533507 820780 943897 1067014 1887794 1928833 2134028 2667535 3775588 3857666 4719485 5335070 7715332 9438970 9644165 10670140 12270661 18877940 19288330 24541322 25074829 38576660 44363159 49082644 50149658 61353305 88726318 100299316 122706610 125374145 177452636 221815795 245413220 250748290 443631590 501496580 576721067 887263180 1153442134 2306884268 2883605335 5767210670 11534421340