Search a number
-
+
56495654838 = 23271736771867
BaseRepresentation
bin110100100111011001…
…110100011110110110
312101211021112121220200
4310213121310132312
51411200341423323
641542001541330
74040005066650
oct644731643666
9171737477820
1056495654838
1121a61362737
12ab48344846
13543472bb7c
142a3d2c36d0
151709c88443
hexd276747b6

56495654838 has 96 divisors (see below), whose sum is σ = 148528733184. Its totient is φ = 15150502656.

The previous prime is 56495654801. The next prime is 56495654857. The reversal of 56495654838 is 83845659465.

It is a happy number.

56495654838 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 56 + 548 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750181 + ... + 822047.

It is an arithmetic number, because the mean of its divisors is an integer number (1547174304).

Almost surely, 256495654838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56495654838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74264366592).

56495654838 is an abundant number, since it is smaller than the sum of its proper divisors (92033078346).

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

56495654838 is a wasteful number, since it uses less digits than its factorization.

56495654838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72266 (or 72263 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 56495654838 in words is "fifty-six billion, four hundred ninety-five million, six hundred fifty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 367 714 734 1071 1101 2142 2202 2569 3303 5138 6239 6606 7707 12478 15414 18717 23121 37434 43673 46242 56151 71867 87346 112302 131019 143734 215601 262038 393057 431202 503069 646803 786114 1006138 1221739 1293606 1509207 2443478 3018414 3665217 4527621 7330434 8552173 9055242 10995651 17104346 21991302 25656519 26375189 51313038 52750378 76969557 79125567 153939114 158251134 184626323 237376701 369252646 448378213 474753402 553878969 896756426 1107757938 1345134639 1661636907 2690269278 3138647491 3323273814 4035403917 6277294982 8070807834 9415942473 18831884946 28247827419 56495654838