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10873431536 = 2411313761883
BaseRepresentation
bin10100010000001101…
…10110010111110000
31001001210021112221112
422020012312113300
5134232044302121
64554543212452
7533311433402
oct121006662760
931053245845
1010873431536
11467a850060
1221355a7128
131043940a76
14752164b72
154398dc75b
hex2881b65f0

10873431536 has 160 divisors (see below), whose sum is σ = 24792508416. Its totient is φ = 4572288000.

The previous prime is 10873431521. The next prime is 10873431571. The reversal of 10873431536 is 63513437801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10873431493 and 10873431502.

It is a congruent number.

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, 12313751 + ... + 12314633.

Almost surely, 210873431536 is an apocalyptic number.

10873431536 is a gapful number since it is divisible by the number (16) 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 10873431536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396254208).

10873431536 is an abundant number, since it is smaller than the sum of its proper divisors (13919076880).

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

10873431536 is a wasteful number, since it uses less digits than its factorization.

10873431536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 10873431536 in words is "ten billion, eight hundred seventy-three million, four hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 37 44 61 62 74 88 122 124 148 176 244 248 296 341 407 488 496 592 671 682 814 883 976 1147 1342 1364 1628 1766 1891 2257 2294 2684 2728 3256 3532 3782 4514 4588 5368 5456 6512 7064 7564 9028 9176 9713 10736 12617 14128 15128 18056 18352 19426 20801 24827 25234 27373 30256 32671 36112 38852 41602 49654 50468 53863 54746 65342 69967 77704 83204 99308 100936 107726 109492 130684 139934 155408 166408 198616 201872 215452 218984 261368 279868 301103 332816 359381 397232 430904 437968 522736 559736 592493 602206 718762 769637 861808 1012801 1119472 1184986 1204412 1437524 1539274 1669753 1992931 2025602 2369972 2408824 2875048 3078548 3339506 3985862 4051204 4739944 4817648 5750096 6157096 6679012 7971724 8102408 9479888 11140811 12314192 13358024 15943448 16204816 18367283 21922241 22281622 26716048 31886896 36734566 43844482 44563244 61780861 73469132 87688964 89126488 123561722 146938264 175377928 178252976 247123444 293876528 350755856 494246888 679589471 988493776 1359178942 2718357884 5436715768 10873431536