Search a number
-
+
11360649870 = 233552180761
BaseRepresentation
bin10101001010010010…
…11100001010001110
31002022202001210212000
422211021130022032
5141231311243440
65115150053130
7551345634123
oct124511341216
932282053760
1011360649870
1148aa877439
1222507aa1a6
1310c086c13b
1479ab5074a
1546757d730
hex2a525c28e

11360649870 has 64 divisors (see below), whose sum is σ = 30353590080. Its totient is φ = 3023654400.

The previous prime is 11360649869. The next prime is 11360649871. The reversal of 11360649870 is 7894606311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11360649869) and next prime (11360649871).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360649871) 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, 100290 + ... + 181050.

It is an arithmetic number, because the mean of its divisors is an integer number (474274845).

Almost surely, 211360649870 is an apocalyptic number.

11360649870 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 11360649870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176795040).

11360649870 is an abundant number, since it is smaller than the sum of its proper divisors (18992940210).

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

11360649870 is a wasteful number, since it uses less digits than its factorization.

11360649870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81298 (or 81292 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11360649870 in words is "eleven billion, three hundred sixty million, six hundred forty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 521 1042 1563 2605 3126 4689 5210 7815 9378 14067 15630 23445 28134 46890 70335 80761 140670 161522 242283 403805 484566 726849 807610 1211415 1453698 2180547 2422830 3634245 4361094 7268490 10902735 21805470 42076481 84152962 126229443 210382405 252458886 378688329 420764810 631147215 757376658 1136064987 1262294430 1893441645 2272129974 3786883290 5680324935 11360649870