Search a number
-
+
681624152060 = 22537929991511
BaseRepresentation
bin10011110101100111111…
…01110010011111111100
32102011101120002121021012
421322303331302133330
542131431240331220
61241044523054352
7100150165460555
oct11726375623774
92364346077235
10681624152060
11243091078105
12b012a6713b8
134c37a403337
1424dc29dd32c
1512ae5c0bac5
hex9eb3f727fc

681624152060 has 48 divisors (see below), whose sum is σ = 1471681431360. Its totient is φ = 264994928640.

The previous prime is 681624152059. The next prime is 681624152117. The reversal of 681624152060 is 60251426186.

It is a super-2 number, since 2×6816241520602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681624151999 and 681624152017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191705 + ... + 1183215.

It is an arithmetic number, because the mean of its divisors is an integer number (30660029820).

Almost surely, 2681624152060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681624152060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840715680).

681624152060 is an abundant number, since it is smaller than the sum of its proper divisors (790057279300).

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

681624152060 is a wasteful number, since it uses less digits than its factorization.

681624152060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992486 (or 992484 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 681624152060 in words is "six hundred eighty-one billion, six hundred twenty-four million, one hundred fifty-two thousand, sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 929 1858 3716 4645 9290 18580 34373 68746 137492 171865 343730 687460 991511 1983022 3966044 4957555 9915110 19830220 36685907 73371814 146743628 183429535 366859070 733718140 921113719 1842227438 3684454876 4605568595 9211137190 18422274380 34081207603 68162415206 136324830412 170406038015 340812076030 681624152060