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11430565024 = 2523312272207
BaseRepresentation
bin10101010010101000…
…01001010010100000
31002111121121212102011
422221110021102200
5141402211040044
65130124402304
7553155125314
oct125124112240
932447555364
1011430565024
11493628a75a
1222700a6394
1311021ab158
147a614db44
1546d78e134
hex2a95094a0

11430565024 has 96 divisors (see below), whose sum is σ = 24357666816. Its totient is φ = 5264751360.

The previous prime is 11430565019. The next prime is 11430565031. The reversal of 11430565024 is 42056503411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5178129 + ... + 5180335.

It is an arithmetic number, because the mean of its divisors is an integer number (253725696).

Almost surely, 211430565024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11430565024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12178833408).

11430565024 is an abundant number, since it is smaller than the sum of its proper divisors (12927101792).

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

11430565024 is a wasteful number, since it uses less digits than its factorization.

11430565024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 11430565024 in words is "eleven billion, four hundred thirty million, five hundred sixty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 227 248 368 454 496 713 736 908 992 1426 1816 2207 2852 3632 4414 5221 5704 7037 7264 8828 10442 11408 14074 17656 20884 22816 28148 35312 41768 50761 56296 68417 70624 83536 101522 112592 136834 161851 167072 203044 225184 273668 323702 406088 500989 547336 647404 812176 1001978 1094672 1294808 1573591 1624352 2003956 2189344 2589616 3147182 4007912 5179232 6294364 8015824 11522747 12588728 15530659 16031648 23045494 25177456 31061318 46090988 50354912 62122636 92181976 124245272 184363952 248490544 357205157 368727904 496981088 714410314 1428820628 2857641256 5715282512 11430565024