Search a number
-
+
11408698368 = 21036172931
BaseRepresentation
bin10101010000000001…
…01110110000000000
31002110002110221000000
422220000232300000
5141331111321433
65124024000000
7552501223164
oct125000566000
932402427000
1011408698368
114924a04a41
122264900000
1310ca7c31c2
147a329aca4
1546b8c0113
hex2a802ec00

11408698368 has 616 divisors, whose sum is σ = 38661770880. Its totient is φ = 3344302080.

The previous prime is 11408698331. The next prime is 11408698421. The reversal of 11408698368 is 86389680411.

11408698368 is a `hidden beast` number, since 114 + 0 + 86 + 98 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 368022513 + ... + 368022543.

Almost surely, 211408698368 is an apocalyptic number.

11408698368 is a gapful number since it is divisible by the number (18) 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 11408698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330885440).

11408698368 is an abundant number, since it is smaller than the sum of its proper divisors (27253072512).

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

11408698368 is an equidigital number, since it uses as much as digits as its factorization.

11408698368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11408698368 in words is "eleven billion, four hundred eight million, six hundred ninety-eight thousand, three hundred sixty-eight".