Search a number
-
+
10005041655000 = 233254731762037
BaseRepresentation
bin1001000110010111101011…
…1101000010110011011000
31022102110202112222212022100
42101211322331002303120
52302410311130430000
633140130325123400
72051561154612030
oct221457275026330
938373675885270
1010005041655000
113208129202047
121157064259560
13577618810032
142683649548c0
151253c2876a00
hex9197af42cd8

10005041655000 has 240 divisors, whose sum is σ = 38697596617680. Its totient is φ = 2286866592000.

The previous prime is 10005041654989. The next prime is 10005041655013. The reversal of 10005041655000 is 55614050001.

It is a happy number.

10005041655000 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 4 + 1 + 655 + 0 + 0 + 0 = 666.

10005041655000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15566019 + ... + 16196018.

It is an arithmetic number, because the mean of its divisors is an integer number (161239985907).

Almost surely, 210005041655000 is an apocalyptic number.

10005041655000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005041655000 is an abundant number, since it is smaller than the sum of its proper divisors (28692554962680).

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

10005041655000 is a wasteful number, since it uses less digits than its factorization.

10005041655000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31762076 (or 31762054 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10005041655000 in words is "ten trillion, five billion, forty-one million, six hundred fifty-five thousand".