Search a number
-
+
29453636855808 = 211341127159561
BaseRepresentation
bin1101011001001101101011…
…00011111110100000000000
310212021201222121001021220000
412230212311203332200000
512330032022013341213
6142350451452520000
76126645402320124
oct654466543764000
9125251877037800
1029453636855808
119426243172170
12337838b480000
131358609b67259
1473b7c685b584
15361253c42c73
hex1ac9b58fe800

29453636855808 has 480 divisors, whose sum is σ = 96329365292160. Its totient is φ = 8892260352000.

The previous prime is 29453636855767. The next prime is 29453636855827. The reversal of 29453636855808 is 80855863635492.

29453636855808 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 3 + 6 + 3 + 68 + 558 + 0 + 8 = 666.

It is a super-2 number, since 2×294536368558082 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 494482348 + ... + 494541908.

It is an arithmetic number, because the mean of its divisors is an integer number (200686177692).

Almost surely, 229453636855808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29453636855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48164682646080).

29453636855808 is an abundant number, since it is smaller than the sum of its proper divisors (66875728436352).

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

29453636855808 is a wasteful number, since it uses less digits than its factorization.

29453636855808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59877 (or 59848 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 29453636855808 in words is "twenty-nine trillion, four hundred fifty-three billion, six hundred thirty-six million, eight hundred fifty-five thousand, eight hundred eight".