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10012746930640 = 24519163292713807
BaseRepresentation
bin1001000110110100011000…
…1110010101100111010000
31022110012122112211102101121
42101231012032111213100
52303022101203240030
633143443100012024
72052253126434346
oct221550616254720
938405575742347
1010012746930640
113210422679743
121158654831014
13578275c8172c
1426889601d996
151256c405647a
hex91b463959d0

10012746930640 has 160 divisors (see below), whose sum is σ = 24665427025920. Its totient is φ = 3769464771072.

The previous prime is 10012746930581. The next prime is 10012746930709. The reversal of 10012746930640 is 4603964721001.

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, 725186617 + ... + 725200423.

It is an arithmetic number, because the mean of its divisors is an integer number (154158918912).

Almost surely, 210012746930640 is an apocalyptic number.

10012746930640 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 10012746930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332713512960).

10012746930640 is an abundant number, since it is smaller than the sum of its proper divisors (14652680095280).

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

10012746930640 is a wasteful number, since it uses less digits than its factorization.

10012746930640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16929 (or 16923 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 10012746930640 in words is "ten trillion, twelve billion, seven hundred forty-six million, nine hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 163 190 304 326 380 652 760 815 1304 1520 1630 2608 2927 3097 3260 5854 6194 6520 11708 12388 13040 13807 14635 15485 23416 24776 27614 29270 30970 46832 49552 55228 55613 58540 61940 69035 110456 111226 117080 123880 138070 220912 222452 234160 247760 262333 276140 278065 444904 477101 524666 552280 556130 889808 954202 1049332 1104560 1112260 1311665 1908404 2098664 2224520 2250541 2385505 2623330 3816808 4197328 4449040 4501082 4771010 5246660 7633616 9002164 9064919 9542020 10493320 11252705 18004328 18129838 19084040 20986640 22505410 36008656 36259676 38168080 40413089 42760279 45010820 45324595 72519352 80826178 85520558 90021640 90649190 145038704 161652356 171041116 180043280 181298380 202065445 213801395 323304712 342082232 362596760 404130890 427602790 646609424 684164464 725193520 767848691 808261780 855205580 1535697382 1616523560 1710411160 3071394764 3233047120 3420822320 3839243455 6142789528 6587333507 7678486910 12285579056 13174667014 15356973820 26349334028 30713947640 32936667535 52698668056 61427895280 65873335070 105397336112 125159336633 131746670140 250318673266 263493340280 500637346532 526986680560 625796683165 1001274693064 1251593366330 2002549386128 2503186732660 5006373465320 10012746930640