Search a number
-
+
4992170274 = 23272131133853
BaseRepresentation
bin1001010011000111…
…00111100100100010
3110212220122112012100
410221203213210202
540210443422044
62143211311230
7234465514200
oct45143474442
913786575170
104992170274
112131a4a463
12b73a4b516
13617349b10
14355024070
151e340b869
hex1298e7922

4992170274 has 144 divisors (see below), whose sum is σ = 13673637432. Its totient is φ = 1304626176.

The previous prime is 4992170237. The next prime is 4992170297. The reversal of 4992170274 is 4720712994.

It is a happy number.

4992170274 is a `hidden beast` number, since 499 + 21 + 70 + 2 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3539417049 + 1452753225 = 59493^2 + 38115^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293732 + ... + 1297584.

Almost surely, 24992170274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992170274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836818716).

4992170274 is an abundant number, since it is smaller than the sum of its proper divisors (8681467158).

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

4992170274 is a wasteful number, since it uses less digits than its factorization.

4992170274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4992170274 is about 70655.2919037208. The cubic root of 4992170274 is about 1709.0829041539.

The spelling of 4992170274 in words is "four billion, nine hundred ninety-two million, one hundred seventy thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 113 117 126 147 182 226 234 273 294 339 441 546 637 678 791 819 882 1017 1274 1469 1582 1638 1911 2034 2373 2938 3822 3853 4407 4746 5537 5733 7119 7706 8814 10283 11074 11466 11559 13221 14238 16611 20566 23118 26442 26971 30849 33222 34677 49833 50089 53942 61698 69354 71981 80913 92547 99666 100178 143962 150267 161826 185094 188797 215943 242739 300534 350623 377594 431886 435389 450801 485478 566391 647829 701246 870778 901602 1051869 1132782 1295658 1306167 1699173 2103738 2454361 2612334 3047723 3155607 3398346 3918501 4908722 5660057 6095446 6311214 7363083 7837002 9143169 11320114 14726166 16980171 18286338 21334061 22089249 27429507 33960342 39620399 42668122 44178498 50940513 54859014 64002183 79240798 101881026 118861197 128004366 192006549 237722394 277342793 356583591 384013098 554685586 713167182 832028379 1664056758 2496085137 4992170274