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45454445436 = 223171673493823
BaseRepresentation
bin101010010101010010…
…111100101101111100
311100022210120002000010
4222111102330231330
51221042314223221
632514222303220
73166255261041
oct522522745574
9140283502003
1045454445436
1118305938694
128986727b10
13439510637a
1422b2b671c8
1512b07a8c76
hexa954bcb7c

45454445436 has 96 divisors (see below), whose sum is σ = 113325004800. Its totient is φ = 14130514944.

The previous prime is 45454445431. The next prime is 45454445437. The reversal of 45454445436 is 63454445454.

It is a super-2 number, since 2×454544454362 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45454445431) 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, 11887821 + ... + 11891643.

It is an arithmetic number, because the mean of its divisors is an integer number (1180468800).

Almost surely, 245454445436 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 45454445436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56662502400).

45454445436 is an abundant number, since it is smaller than the sum of its proper divisors (67870559364).

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

45454445436 is a wasteful number, since it uses less digits than its factorization.

45454445436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4361 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 48.

The spelling of 45454445436 in words is "forty-five billion, four hundred fifty-four million, four hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 349 501 668 698 1002 1047 1396 2004 2094 2839 3823 4188 5678 5933 7646 8517 11356 11469 11866 15292 17034 17799 22938 23732 34068 35598 45876 58283 64991 71196 116566 129982 174849 194973 233132 259964 349698 389946 638441 699396 779892 990811 1276882 1334227 1915323 1981622 2553764 2668454 2972433 3830646 3963244 4002681 5336908 5944866 7661292 8005362 10853497 11889732 16010724 21706994 22681859 32560491 43413988 45363718 65120982 68045577 90727436 130241964 136091154 222815909 272182308 445631818 668447727 891263636 1336895454 2673790908 3787870453 7575740906 11363611359 15151481812 22727222718 45454445436