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54645645546 = 23317103157737
BaseRepresentation
bin110010111001001000…
…100110000011101010
312020001100102102021000
4302321020212003222
51343403241124141
641034233455430
73643112215602
oct627110460352
9166040372230
1054645645546
11211a2051338
12a710871576
1351cb37c40b
14290570dc02
15164c6525b6
hexcb92260ea

54645645546 has 64 divisors (see below), whose sum is σ = 128704930560. Its totient is φ = 17126807040.

The previous prime is 54645645541. The next prime is 54645645557. The reversal of 54645645546 is 64554654645.

54645645546 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 56 + 45 + 546 = 666.

It is a super-2 number, since 2×546456455462 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54645645492 and 54645645501.

It is not an unprimeable number, because it can be changed into a prime (54645645541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917590 + ... + 975326.

It is an arithmetic number, because the mean of its divisors is an integer number (2011014540).

Almost surely, 254645645546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54645645546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64352465280).

54645645546 is an abundant number, since it is smaller than the sum of its proper divisors (74059285014).

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

54645645546 is a wasteful number, since it uses less digits than its factorization.

54645645546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58796 (or 58790 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

Subtracting 54645645546 from its reverse (64554654645), we obtain a palindrome (9909009099).

The spelling of 54645645546 in words is "fifty-four billion, six hundred forty-five million, six hundred forty-five thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1031 2062 3093 6186 9279 17527 18558 27837 35054 52581 55674 57737 105162 115474 157743 173211 315486 346422 473229 519633 946458 981529 1039266 1558899 1963058 2944587 3117798 5889174 8833761 17667522 26501283 53002566 59526847 119053694 178580541 357161082 535741623 1011956399 1071483246 1607224869 2023912798 3035869197 3214449738 6071738394 9107607591 18215215182 27322822773 54645645546