Search a number
-
+
495954749880 = 233354481102481
BaseRepresentation
bin1110011011110010011…
…01001110100110111000
31202102010221100201022000
413031321031032212320
531111203403444010
61015501035301000
750555135550252
oct7157115164670
91672127321260
10495954749880
11181373588187
12801522aa760
13379cb044c55
141a00bc90cd2
15cd7a9207c0
hex737934e9b8

495954749880 has 128 divisors (see below), whose sum is σ = 1653567566400. Its totient is φ = 132223795200.

The previous prime is 495954749867. The next prime is 495954749911. The reversal of 495954749880 is 88947459594.

495954749880 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 54 + 7 + 498 + 80 = 666.

It is a super-2 number, since 2×4959547498802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 495954749799 and 495954749808.

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, 4788240 + ... + 4890720.

Almost surely, 2495954749880 is an apocalyptic number.

495954749880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495954749880 is an abundant number, since it is smaller than the sum of its proper divisors (1157612816520).

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

495954749880 is a wasteful number, since it uses less digits than its factorization.

495954749880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106982 (or 106972 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 495954749880 in words is "four hundred ninety-five billion, nine hundred fifty-four million, seven hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 4481 8962 13443 17924 22405 26886 35848 40329 44810 53772 67215 80658 89620 102481 107544 120987 134430 161316 179240 201645 204962 241974 268860 307443 322632 403290 409924 483948 512405 537720 604935 614886 806580 819848 922329 967896 1024810 1209870 1229772 1537215 1613160 1844658 2049620 2419740 2459544 2766987 3074430 3689316 4099240 4611645 4839480 5533974 6148860 7378632 9223290 11067948 12297720 13834935 18446580 22135896 27669870 36893160 55339740 110679480 459217361 918434722 1377652083 1836869444 2296086805 2755304166 3673738888 4132956249 4592173610 5510608332 6888260415 8265912498 9184347220 11021216664 12398868747 13776520830 16531824996 18368694440 20664781245 24797737494 27553041660 33063649992 41329562490 49595474988 55106083320 61994343735 82659124980 99190949976 123988687470 165318249960 247977374940 495954749880