Search a number
-
+
11851361460 = 2232565840897
BaseRepresentation
bin10110000100110010…
…10110110010110100
31010120221102112121100
423002121112302310
5143232422031320
65235555450100
7566454624141
oct130231266264
933527375540
1011851361460
11503186a304
122368bb6930
13116b421523
14805da93c8
154956ae790
hex2c2656cb4

11851361460 has 36 divisors (see below), whose sum is σ = 35949130308. Its totient is φ = 3160363008.

The previous prime is 11851361399. The next prime is 11851361527. The reversal of 11851361460 is 6416315811.

It is a happy number.

11851361460 is a `hidden beast` number, since 1 + 185 + 13 + 6 + 1 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2340430884 + 9510930576 = 48378^2 + 97524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32920269 + ... + 32920628.

It is an arithmetic number, because the mean of its divisors is an integer number (998586953).

Almost surely, 211851361460 is an apocalyptic number.

11851361460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11851361460 is an abundant number, since it is smaller than the sum of its proper divisors (24097768848).

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

11851361460 is a wasteful number, since it uses less digits than its factorization.

11851361460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65840912 (or 65840907 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11851361460 in words is "eleven billion, eight hundred fifty-one million, three hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 65840897 131681794 197522691 263363588 329204485 395045382 592568073 658408970 790090764 987613455 1185136146 1316817940 1975226910 2370272292 2962840365 3950453820 5925680730 11851361460