Search a number
-
+
10065555312336 = 24323111172018647
BaseRepresentation
bin1001001001111001000111…
…0110010100111011010000
31022122020221212010011110100
42102132101312110323100
52304403224124443321
633224015142532400
72056132562325006
oct222362166247320
938566855104410
1010065555312336
1132308616244a7
121166932137100
135802407c4774
1426b265716a76
15126c6523e326
hex92791d94ed0

10065555312336 has 120 divisors (see below), whose sum is σ = 29104317791744. Its totient is φ = 3244044867840.

The previous prime is 10065555312317. The next prime is 10065555312359. The reversal of 10065555312336 is 63321355556001.

10065555312336 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 55 + 553 + 12 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10065555312291 and 10065555312300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3976965 + ... + 5995611.

Almost surely, 210065555312336 is an apocalyptic number.

10065555312336 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 10065555312336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552158895872).

10065555312336 is an abundant number, since it is smaller than the sum of its proper divisors (19038762479408).

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

10065555312336 is a wasteful number, since it uses less digits than its factorization.

10065555312336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019809 (or 2019800 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 10065555312336 in words is "ten trillion, sixty-five billion, five hundred fifty-five million, three hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1117 1488 2232 2234 3351 4464 4468 6702 8936 10053 13404 17872 20106 26808 34627 40212 53616 69254 80424 103881 138508 160848 207762 277016 311643 415524 554032 623286 831048 1246572 1662096 2018647 2493144 4037294 4986288 6055941 8074588 12111882 16149176 18167823 24223764 32298352 36335646 48447528 62578057 72671292 96895056 125156114 145342584 187734171 250312228 290685168 375468342 500624456 563202513 750936684 1001248912 1126405026 1501873368 2252810052 2254828699 3003746736 4505620104 4509657398 6764486097 9011240208 9019314796 13528972194 18038629592 20293458291 27057944388 36077259184 40586916582 54115888776 69899689669 81173833164 108231777552 139799379338 162347666328 209699069007 279598758676 324695332656 419398138014 559197517352 629097207021 838796276028 1118395034704 1258194414042 1677592552056 2516388828084 3355185104112 5032777656168 10065555312336