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18885535056 = 2432241557977
BaseRepresentation
bin10001100101101010…
…100110010101010000
31210202011110120202100
4101211222212111100
5302134144110211
612401554320400
71236000253653
oct214552462520
953664416670
1018885535056
118011435013
1237b0889100
131a1c83101b
14cb229d89a
15757ec9156
hex465aa6550

18885535056 has 120 divisors (see below), whose sum is σ = 53222278824. Its totient is φ = 6251397120.

The previous prime is 18885535033. The next prime is 18885535057. The reversal of 18885535056 is 65053558881.

It is a happy number.

18885535056 is a `hidden beast` number, since 1 + 8 + 8 + 85 + 53 + 505 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5106531600 + 13779003456 = 71460^2 + 117384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18885534993 and 18885535011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18885535057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19329640 + ... + 19330616.

Almost surely, 218885535056 is an apocalyptic number.

18885535056 is a gapful number since it is divisible by the number (16) 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 18885535056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611139412).

18885535056 is an abundant number, since it is smaller than the sum of its proper divisors (34336743768).

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

18885535056 is a wasteful number, since it uses less digits than its factorization.

18885535056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 18885535056 in words is "eighteen billion, eight hundred eighty-five million, five hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 557 723 964 977 1114 1446 1671 1928 1954 2169 2228 2892 2931 3342 3856 3908 4338 4456 5013 5784 5862 6684 7816 8676 8793 8912 10026 11568 11724 13368 15632 17352 17586 20052 23448 26736 34704 35172 40104 46896 70344 80208 134237 140688 235457 268474 402711 470914 536948 544189 706371 805422 941828 1073896 1088378 1208133 1412742 1610844 1632567 1883656 2119113 2147792 2176756 2416266 2825484 3221688 3265134 3767312 4238226 4353512 4832532 4897701 5650968 6443376 6530268 8476452 8707024 9665064 9795402 11301936 13060536 16952904 19330128 19590804 26121072 33905808 39181608 78363216 131149549 262299098 393448647 524598196 786897294 1049196392 1180345941 1573794588 2098392784 2360691882 3147589176 4721383764 6295178352 9442767528 18885535056