Search a number
-
+
677671223640 = 23357114379379
BaseRepresentation
bin10011101110010000101…
…10100100000101011000
32101210012001222000212220
421313020112210011120
542100332313124030
61235152354104040
766650216234115
oct11671026440530
92353161860786
10677671223640
11241442814514
12ab40687b020
134bb9a483138
1424b29a1d90c
1512963b83a10
hex9dc85a4158

677671223640 has 64 divisors (see below), whose sum is σ = 2033067859200. Its totient is φ = 180707509632.

The previous prime is 677671223627. The next prime is 677671223651. The reversal of 677671223640 is 46322176776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8497471 + ... + 8576849.

It is an arithmetic number, because the mean of its divisors is an integer number (31766685300).

Almost surely, 2677671223640 is an apocalyptic number.

677671223640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677671223640 is an abundant number, since it is smaller than the sum of its proper divisors (1355396635560).

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

677671223640 is a wasteful number, since it uses less digits than its factorization.

677671223640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150536 (or 150532 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 677671223640 in words is "six hundred seventy-seven billion, six hundred seventy-one million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 71143 79379 142286 158758 213429 238137 284572 317516 355715 396895 426858 476274 569144 635032 711430 793790 853716 952548 1067145 1190685 1422860 1587580 1707432 1905096 2134290 2381370 2845720 3175160 4268580 4762740 8537160 9525480 5647260197 11294520394 16941780591 22589040788 28236300985 33883561182 45178081576 56472601970 67767122364 84708902955 112945203940 135534244728 169417805910 225890407880 338835611820 677671223640