Search a number
-
+
117677642776540 = 2257211103105983431
BaseRepresentation
bin11010110000011011110110…
…000110000111111111011100
3120102122212120020221112021221
4122300123312012013333130
5110411012303022322130
61054140210205503124
733533633455404100
oct3260336606077734
9512585506845257
10117677642776540
113454a898552250
1211246870571aa4
135087c531cc9c2
14210b8b20ad900
15d910eb32687a
hex6b06f6187fdc

117677642776540 has 144 divisors (see below), whose sum is σ = 316647971587584. Its totient is φ = 36322641129600.

The previous prime is 117677642776349. The next prime is 117677642776553. The reversal of 117677642776540 is 45677246776711.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 117677642776540.

It is a congruent number.

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, 51881376 + ... + 54102055.

It is an arithmetic number, because the mean of its divisors is an integer number (2198944247136).

Almost surely, 2117677642776540 is an apocalyptic number.

117677642776540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117677642776540 is an abundant number, since it is smaller than the sum of its proper divisors (198970328811044).

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

117677642776540 is a wasteful number, since it uses less digits than its factorization.

117677642776540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105983568 (or 105983559 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 70.

The spelling of 117677642776540 in words is "one hundred seventeen trillion, six hundred seventy-seven billion, six hundred forty-two million, seven hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 103 110 140 154 196 206 220 245 308 385 412 490 515 539 721 770 980 1030 1078 1133 1442 1540 2060 2156 2266 2695 2884 3605 4532 5047 5390 5665 7210 7931 10094 10780 11330 14420 15862 20188 22660 25235 31724 39655 50470 55517 79310 100940 111034 158620 222068 277585 555170 1110340 105983431 211966862 423933724 529917155 741884017 1059834310 1165817741 1483768034 2119668620 2331635482 2967536068 3709420085 4663270964 5193188119 5829088705 7418840170 8160724187 10386376238 10916293393 11658177410 14837680340 16321448374 20772752476 21832586786 23316354820 25965940595 32642896748 40803620935 43665173572 51931881190 54581466965 57125069309 76414053751 81607241870 103863762380 109162933930 114250138618 120079227323 152828107502 163214483740 218325867860 228500277236 240158454646 285625346545 305656215004 382070268755 480316909292 534898376257 571250693090 600396136615 764140537510 840554591261 1069796752514 1142501386180 1200792273230 1528281075020 1681109182522 2139593505028 2401584546460 2674491881285 3362218365044 4202772956305 5348983762570 5883882138827 8405545912610 10697967525140 11767764277654 16811091825220 23535528555308 29419410694135 58838821388270 117677642776540