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45064448154 = 23211592151433
BaseRepresentation
bin101001111110000011…
…001110100010011010
311022022121201011022100
4221332003032202122
51214242444320104
632411411304230
73153511326525
oct517603164232
9138277634270
1045064448154
1118125784990
128897bab076
13433238794b
142277047bbc
15128b41e139
hexa7e0ce89a

45064448154 has 144 divisors (see below), whose sum is σ = 109321377984. Its totient is φ = 13304736000.

The previous prime is 45064448153. The next prime is 45064448161. The reversal of 45064448154 is 45184446054.

45064448154 is a `hidden beast` number, since 4 + 50 + 6 + 4 + 448 + 154 = 666.

45064448154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45064448153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104074722 + ... + 104075154.

It is an arithmetic number, because the mean of its divisors is an integer number (759176236).

Almost surely, 245064448154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45064448154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54660688992).

45064448154 is an abundant number, since it is smaller than the sum of its proper divisors (64256929830).

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

45064448154 is a wasteful number, since it uses less digits than its factorization.

45064448154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 45064448154 in words is "forty-five billion, sixty-four million, four hundred forty-eight thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 151 177 198 302 354 433 453 531 649 866 906 1062 1298 1299 1359 1661 1947 2598 2718 3322 3481 3894 3897 4763 4983 5841 6962 7794 8909 9526 9966 10443 11682 14289 14949 17818 20886 25547 26727 28578 29898 31329 38291 42867 51094 53454 62658 65383 76582 76641 80181 85734 97999 114873 130766 153282 160362 195998 196149 229746 229923 281017 293997 344619 392298 459846 525631 562034 587994 588447 689238 719213 843051 881991 1051262 1176894 1438426 1507273 1576893 1686102 1763982 2157639 2529153 3014546 3153786 3857597 4315278 4521819 4730679 5058306 5781941 6472917 7715194 9043638 9461358 11563882 11572791 12945834 13565457 16580003 17345823 23145582 27130914 33160006 34691646 34718373 42433567 49740009 52037469 69436746 84867134 99480018 104074938 127300701 149220027 227598223 254601402 298440054 381902103 455196446 682794669 763804206 1365589338 2048384007 2503580453 4096768014 5007160906 7510741359 15021482718 22532224077 45064448154