Search a number
-
+
354856985395416 = 233272195293844513
BaseRepresentation
bin101000010101111011001010…
…0100011111000000011011000
31201112102222220110000022121100
41100223312110203320003120
5333002434101230123131
63254415014254511400
7134513366621663400
oct12053662443700330
91645388813008540
10354856985395416
11a3083003175989
12339717b2505560
1312300b4090116a
14638b253a6d800
152b059a04e27e6
hex142bd948f80d8

354856985395416 has 144 divisors (see below), whose sum is σ = 1176821635462200. Its totient is φ = 96051514825728.

The previous prime is 354856985395411. The next prime is 354856985395457. The reversal of 354856985395416 is 614593589658453.

354856985395416 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 5 + 69 + 8 + 5 + 3 + 9 + 541 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354856985395411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2646855225 + ... + 2646989288.

Almost surely, 2354856985395416 is an apocalyptic number.

354856985395416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

354856985395416 is an abundant number, since it is smaller than the sum of its proper divisors (821964650066784).

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

354856985395416 is a wasteful number, since it uses less digits than its factorization.

354856985395416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293844558 (or 5293844544 counting only the distinct ones).

The product of its digits is 16796160000, while the sum is 81.

The spelling of 354856985395416 in words is "three hundred fifty-four trillion, eight hundred fifty-six billion, nine hundred eighty-five million, three hundred ninety-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 16758 22344 33516 67032 5293844513 10587689026 15881533539 21175378052 31763067078 37056911591 42350756104 47644600617 63526134156 74113823182 95289201234 100583045747 111170734773 127052268312 148227646364 190578402468 201166091494 222341469546 259398381137 296455292728 301749137241 333512204319 381156804936 402332182988 444682939092 518796762274 603498274482 667024408638 704081320229 778195143411 804664365976 889365878184 905247411723 1037593524548 1206996548964 1334048817276 1408162640458 1556390286822 1810494823446 2075187049096 2112243960687 2334585430233 2413993097928 2668097634552 2816325280916 3112780573644 3620989646892 4224487921374 4669170860466 4928569241603 5632650561832 6225561147288 6336731882061 7241979293784 8448975842748 9338341720932 9857138483206 12673463764122 14785707724809 16897951685496 18676683441864 19714276966412 25346927528244 29571415449618 39428553932824 44357123174427 50693855056488 59142830899236 88714246348854 118285661798472 177428492697708 354856985395416