Search a number
-
+
11254766070 = 2353135334283
BaseRepresentation
bin10100111101101011…
…00001100111110110
31002001100211100120210
422132311201213312
5141022210003240
65100444410250
7545621635032
oct123665414766
932040740523
1011254766070
114856027369
122221246986
1310a49484c2
1478aa6b1c2
1545d115780
hex29ed619f6

11254766070 has 64 divisors (see below), whose sum is σ = 27962578944. Its totient is φ = 2896143360.

The previous prime is 11254766059. The next prime is 11254766077. The reversal of 11254766070 is 7066745211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254766077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311149 + ... + 345431.

It is an arithmetic number, because the mean of its divisors is an integer number (436915296).

Almost surely, 211254766070 is an apocalyptic number.

11254766070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11254766070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981289472).

11254766070 is an abundant number, since it is smaller than the sum of its proper divisors (16707812874).

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

11254766070 is a wasteful number, since it uses less digits than its factorization.

11254766070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34677.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 11254766070 in words is "eleven billion, two hundred fifty-four million, seven hundred sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 353 465 706 930 1059 1765 2118 3530 5295 10590 10943 21886 32829 34283 54715 65658 68566 102849 109430 164145 171415 205698 328290 342830 514245 1028490 1062773 2125546 3188319 5313865 6376638 10627730 12101899 15941595 24203798 31883190 36305697 60509495 72611394 121018990 181528485 363056970 375158869 750317738 1125476607 1875794345 2250953214 3751588690 5627383035 11254766070