Search a number
-
+
10550045176 = 23112131271307
BaseRepresentation
bin10011101001101010…
…01110100111111000
31000020020202211020221
421310311032213320
5133101302421201
64502512025424
7522303622126
oct116465164770
930206684227
1010550045176
114524253100
122065232274
13cc19453a8
14721224916
1541b30e4a1
hex274d4e9f8

10550045176 has 96 divisors (see below), whose sum is σ = 22061571840. Its totient is φ = 4725864000.

The previous prime is 10550045131. The next prime is 10550045189. The reversal of 10550045176 is 67154005501.

It is a super-2 number, since 2×105500451762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34364815 + ... + 34365121.

It is an arithmetic number, because the mean of its divisors is an integer number (229808040).

Almost surely, 210550045176 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 10550045176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030785920).

10550045176 is an abundant number, since it is smaller than the sum of its proper divisors (11511526664).

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

10550045176 is a wasteful number, since it uses less digits than its factorization.

10550045176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 10550045176 in words is "ten billion, five hundred fifty million, forty-five thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 121 131 242 262 271 307 484 524 542 614 968 1048 1084 1228 1441 2168 2456 2882 2981 3377 5764 5962 6754 11528 11924 13508 15851 23848 27016 31702 32791 35501 37147 40217 63404 65582 71002 74294 80434 83197 126808 131164 142004 148588 160868 166394 262328 284008 297176 321736 332788 390511 442387 665576 781022 884774 915167 1562044 1769548 1830334 3124088 3539096 3660668 4295621 4866257 7321336 8591242 9732514 10066837 10898807 17182484 19465028 20133674 21797614 34364968 38930056 40267348 43595228 80534696 87190456 119886877 239773754 479547508 959095016 1318755647 2637511294 5275022588 10550045176