Search a number
-
+
10472723457260 = 22510112774059919
BaseRepresentation
bin1001100001100101111011…
…1101100010010011101100
31101002011221002211000201012
42120121132331202103230
52333041114201113020
634135034105204352
72130425564416511
oct230313675422354
941064832730635
1010472723457260
113378503406209
121211825a906b8
135ac75c21b87c
14282c4d8c5308
151326460b77c5
hex9865ef624ec

10472723457260 has 48 divisors (see below), whose sum is σ = 22227867123840. Its totient is φ = 4144364294400.

The previous prime is 10472723457257. The next prime is 10472723457289. The reversal of 10472723457260 is 6275432727401.

It is a happy number.

It is a super-2 number, since 2×104727234572602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10472723457199 and 10472723457208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549581 + ... + 4609499.

It is an arithmetic number, because the mean of its divisors is an integer number (463080565080).

Almost surely, 210472723457260 is an apocalyptic number.

10472723457260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10472723457260 is an abundant number, since it is smaller than the sum of its proper divisors (11755143666580).

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

10472723457260 is a wasteful number, since it uses less digits than its factorization.

10472723457260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061306 (or 4061304 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 10472723457260 in words is "ten trillion, four hundred seventy-two billion, seven hundred twenty-three million, four hundred fifty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1277 2020 2554 5108 6385 12770 25540 128977 257954 515908 644885 1289770 2579540 4059919 8119838 16239676 20299595 40599190 81198380 410051819 820103638 1640207276 2050259095 4100518190 5184516563 8201036380 10369033126 20738066252 25922582815 51845165630 103690331260 523636172863 1047272345726 2094544691452 2618180864315 5236361728630 10472723457260