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10643114036430 = 2325417043409529
BaseRepresentation
bin1001101011100000101100…
…0010000000110011001110
31101200110201220202021201200
42122320023002000303032
52343334044143131210
634345213514450330
72145640200431451
oct232701302006316
941613656667650
1010643114036430
1134337a0454287
12123a8594339a6
135c2845069195
1428b1b538d498
15136cb9d650c0
hex9ae0b080cce

10643114036430 has 96 divisors (see below), whose sum is σ = 28351119756960. Its totient is φ = 2768540328960.

The previous prime is 10643114036413. The next prime is 10643114036447. The reversal of 10643114036430 is 3463041134601.

10643114036430 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 1 + 1 + 4 + 0 + 3 + 643 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10643114036413) and next prime (10643114036447).

It is a super-2 number, since 2×106431140364302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25783906 + ... + 26193434.

It is an arithmetic number, because the mean of its divisors is an integer number (295324164135).

Almost surely, 210643114036430 is an apocalyptic number.

10643114036430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643114036430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175559878480).

10643114036430 is an abundant number, since it is smaller than the sum of its proper divisors (17708005720530).

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

10643114036430 is a wasteful number, since it uses less digits than its factorization.

10643114036430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416626 (or 416623 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10643114036430 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 7043 14086 21129 35215 42258 63387 70430 105645 126774 211290 288763 316935 409529 577526 633870 819058 866289 1228587 1443815 1732578 2047645 2457174 2598867 2887630 3685761 4095290 4331445 5197734 6142935 7371522 8662890 12285870 12994335 16790689 18428805 25988670 33581378 36857610 50372067 83953445 100744134 151116201 167906890 251860335 302232402 503720670 755581005 1511162010 2884312747 5768625494 8652938241 14421563735 17305876482 25958814723 28843127470 43264691205 51917629446 86529382410 118256822627 129794073615 236513645254 259588147230 354770467881 591284113135 709540935762 1064311403643 1182568226270 1773852339405 2128622807286 3547704678810 5321557018215 10643114036430