Search a number
-
+
13055628899628 = 223271151411110949
BaseRepresentation
bin1011110111111100000000…
…0111110111010100101100
31201020002212020002102120100
42331333000013313110230
53202400411444242003
643433401220551100
72515144440424260
oct275770007672454
951202766072510
1013055628899628
114183952177407
12156a327852490
137391a9960783
14331c781640a0
151799182adba3
hexbdfc01f752c

13055628899628 has 144 divisors (see below), whose sum is σ = 37761660518400. Its totient is φ = 3725691984000.

The previous prime is 13055628899609. The next prime is 13055628899647. The reversal of 13055628899628 is 82699882655031.

13055628899628 is a `hidden beast` number, since 1 + 3 + 0 + 556 + 2 + 8 + 8 + 9 + 9 + 62 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13055628899609) and next prime (13055628899647).

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, 1192398298 + ... + 1192409246.

It is an arithmetic number, because the mean of its divisors is an integer number (262233753600).

Almost surely, 213055628899628 is an apocalyptic number.

13055628899628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13055628899628 is an abundant number, since it is smaller than the sum of its proper divisors (24706031618772).

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

13055628899628 is a wasteful number, since it uses less digits than its factorization.

13055628899628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16228 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 13055628899628 in words is "thirteen trillion, fifty-five billion, six hundred twenty-eight million, eight hundred ninety-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1151 2302 3453 4111 4604 6906 8057 8222 10359 10949 12333 13812 16114 16444 20718 21898 24171 24666 28777 32228 32847 36999 41436 43796 48342 49332 57554 65694 72513 73998 76643 86331 96684 98541 115108 131388 145026 147996 153286 172662 197082 229929 258993 290052 306572 345324 394164 459858 517986 689787 919716 1035972 1379574 2759148 4731761 9463522 12602299 14195283 18927044 25204598 28390566 33122327 37806897 42585849 45011339 50409196 56781132 66244654 75613794 85171698 88216093 90022678 99366981 113420691 132489308 135034017 151227588 170343396 176432186 180045356 198733962 226841382 264648279 270068034 298100943 315079373 352864372 397467924 405102051 453682764 529296558 540136068 596201886 630158746 793944837 810204102 945238119 1058593116 1192403772 1260317492 1587889674 1620408204 1890476238 2835714357 3175779348 3780952476 5671428714 11342857428 51808051189 103616102378 155424153567 207232204756 310848307134 362656358323 466272460701 621696614268 725312716646 932544921402 1087969074969 1450625433292 1865089842804 2175938149938 3263907224907 4351876299876 6527814449814 13055628899628