Search a number
-
+
3713045616 = 243371772227
BaseRepresentation
bin1101110101010000…
…1001010001110000
3100120202202021001000
43131110021101300
530101014424431
61412235242000
7161004236610
oct33524112160
910522667030
103713045616
111635a10145
128775a9300
13472340817
142731b8a40
1516ae919e6
hexdd509470

3713045616 has 160 divisors (see below), whose sum is σ = 12897031680. Its totient is φ = 998452224.

The previous prime is 3713045603. The next prime is 3713045621. The reversal of 3713045616 is 6165403173.

3713045616 is a `hidden beast` number, since 3 + 7 + 1 + 30 + 4 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15295 + ... + 87521.

It is an arithmetic number, because the mean of its divisors is an integer number (80606448).

Almost surely, 23713045616 is an apocalyptic number.

3713045616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713045616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448515840).

3713045616 is an abundant number, since it is smaller than the sum of its proper divisors (9183986064).

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

3713045616 is a wasteful number, since it uses less digits than its factorization.

3713045616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72268 (or 72256 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3713045616 is about 60934.7652494042. The cubic root of 3713045616 is about 1548.4960251654.

Adding to 3713045616 its reverse (6165403173), we get a palindrome (9878448789).

The spelling of 3713045616 in words is "three billion, seven hundred thirteen million, forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 72227 144454 216681 288908 433362 505589 577816 650043 866724 1011178 1155632 1227859 1300086 1516767 1733448 1950129 2022356 2455718 2600172 3033534 3466896 3683577 3900258 4044712 4550301 4911436 5200344 6067068 7367154 7800516 8089424 8595013 9100602 9822872 10400688 11050731 12134136 13650903 14734308 15601032 17190026 18201204 19645744 22101462 24268272 25785039 27301806 29468616 31202064 33152193 34380052 36402408 44202924 51570078 54603612 58937232 66304386 68760104 72804816 77355117 88405848 103140156 109207224 132608772 137520208 154710234 176811696 206280312 218414448 232065351 265217544 309420468 412560624 464130702 530435088 618840936 928261404 1237681872 1856522808 3713045616