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10516426680 = 2335595212851
BaseRepresentation
bin10011100101101001…
…11110111110111000
31000010220111211100110
421302310332332320
5133014201123210
64455311304320
7521415103044
oct116264767670
930126454313
1010516426680
114507281021
122055b1b0a0
13cb79a43a6
1471a993024
154183bd420
hex272d3efb8

10516426680 has 128 divisors (see below), whose sum is σ = 32156870400. Its totient is φ = 2750592000.

The previous prime is 10516426667. The next prime is 10516426741. The reversal of 10516426680 is 8662461501.

It is a happy number.

It is a super-2 number, since 2×105164266802 (a number of 21 digits) contains 22 as substring.

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, 3687255 + ... + 3690105.

It is an arithmetic number, because the mean of its divisors is an integer number (251225550).

Almost surely, 210516426680 is an apocalyptic number.

10516426680 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 10516426680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078435200).

10516426680 is an abundant number, since it is smaller than the sum of its proper divisors (21640443720).

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

10516426680 is a wasteful number, since it uses less digits than its factorization.

10516426680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10516426680 in words is "ten billion, five hundred sixteen million, four hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 521 590 708 885 1042 1180 1416 1563 1770 2084 2360 2605 2851 3126 3540 4168 5210 5702 6252 7080 7815 8553 10420 11404 12504 14255 15630 17106 20840 22808 28510 30739 31260 34212 42765 57020 61478 62520 68424 85530 92217 114040 122956 153695 168209 171060 184434 245912 307390 336418 342120 368868 461085 504627 614780 672836 737736 841045 922170 1009254 1229560 1345672 1485371 1682090 1844340 2018508 2523135 2970742 3364180 3688680 4037016 4456113 5046270 5941484 6728360 7426855 8912226 10092540 11882968 14853710 17824452 20185080 22280565 29707420 35648904 44561130 59414840 87636889 89122260 175273778 178244520 262910667 350547556 438184445 525821334 701095112 876368890 1051642668 1314553335 1752737780 2103285336 2629106670 3505475560 5258213340 10516426680