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11006253620 = 2252335993943
BaseRepresentation
bin10100100000000011…
…00001101000110100
31001102001012121120222
422100001201220310
5140020100103440
65020050113512
7536513416655
oct122001415064
931361177528
1011006253620
11473881a27a
122171b7b898
131065306c0b
14765a5b52c
154463c72b5
hex290061a34

11006253620 has 48 divisors (see below), whose sum is σ = 23256979200. Its totient is φ = 4375178496.

The previous prime is 11006253617. The next prime is 11006253637. The reversal of 11006253620 is 2635260011.

It is a super-2 number, since 2×110062536202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006253620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789369 + ... + 2793311.

It is an arithmetic number, because the mean of its divisors is an integer number (484520400).

Almost surely, 211006253620 is an apocalyptic number.

11006253620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006253620 is an abundant number, since it is smaller than the sum of its proper divisors (12250725580).

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

11006253620 is a wasteful number, since it uses less digits than its factorization.

11006253620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 11006253620 in words is "eleven billion, six million, two hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 233 466 599 932 1165 1198 2330 2396 2995 3943 4660 5990 7886 11980 15772 19715 39430 78860 139567 279134 558268 697835 918719 1395670 1837438 2361857 2791340 3674876 4593595 4723714 9187190 9447428 11809285 18374380 23618570 47237140 550312681 1100625362 2201250724 2751563405 5503126810 11006253620