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11058674000 = 245311245697
BaseRepresentation
bin10100100110010010…
…11111100101010000
31001112200211211211112
422103021133211100
5140122010032000
65025201432452
7541021115033
oct122311374520
931480754745
1011058674000
114765373500
12218763b728
13107312bbaa
1476c9c501a
1544acce235
hex29325f950

11058674000 has 120 divisors (see below), whose sum is σ = 29392405224. Its totient is φ = 4021248000.

The previous prime is 11058673991. The next prime is 11058674021. The reversal of 11058674000 is 47685011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 879478336 + 10179195664 = 29656^2 + 100892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219152 + ... + 264848.

Almost surely, 211058674000 is an apocalyptic number.

11058674000 is a gapful number since it is divisible by the number (10) 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 11058674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696202612).

11058674000 is an abundant number, since it is smaller than the sum of its proper divisors (18333731224).

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

11058674000 is a wasteful number, since it uses less digits than its factorization.

11058674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45742 (or 45715 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 11058674000 in words is "eleven billion, fifty-eight million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 45697 48400 60500 91394 121000 182788 228485 242000 365576 456970 502667 731152 913940 1005334 1142425 1827880 2010668 2284850 2513335 3655760 4021336 4569700 5026670 5529337 5712125 8042672 9139400 10053340 11058674 11424250 12566675 18278800 20106680 22117348 22848500 25133350 27646685 40213360 44234696 45697000 50266700 55293370 62833375 88469392 91394000 100533400 110586740 125666750 138233425 201066800 221173480 251333500 276466850 442346960 502667000 552933700 691167125 1005334000 1105867400 1382334250 2211734800 2764668500 5529337000 11058674000