Search a number
-
+
45654514004 = 221171181263307
BaseRepresentation
bin101010100001001110…
…001001100101010100
311100211202000121111002
4222201032021211110
51222000023422004
632550130402432
73204234652241
oct524116114524
9140752017432
1045654514004
11183a8868110
128a21730418
1343c76b5938
1422d15665c8
1512c312861e
hexaa1389954

45654514004 has 96 divisors (see below), whose sum is σ = 89503045632. Its totient is φ = 20203344000.

The previous prime is 45654514001. The next prime is 45654514013. The reversal of 45654514004 is 40041545654.

It is a happy number.

It is a super-2 number, since 2×456545140042 (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 (45654514001) 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, 148711619 + ... + 148711925.

It is an arithmetic number, because the mean of its divisors is an integer number (932323392).

Almost surely, 245654514004 is an apocalyptic number.

45654514004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45654514004 is a deficient number, since it is larger than the sum of its proper divisors (43848531628).

45654514004 is a wasteful number, since it uses less digits than its factorization.

45654514004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 45654514004 in words is "forty-five billion, six hundred fifty-four million, five hundred fourteen thousand, four".

Divisors: 1 2 4 11 22 44 71 142 181 263 284 307 362 526 614 724 781 1052 1228 1562 1991 2893 3124 3377 3982 5786 6754 7964 11572 12851 13508 18673 21797 25702 37346 43594 47603 51404 55567 74692 80741 87188 95206 111134 141361 161482 190412 205403 222268 239767 282722 322964 410806 479534 523633 565444 611237 821612 888151 959068 1047266 1222474 1776302 2094532 2444948 3379813 3552604 3945257 5732611 6759626 7890514 11465222 13519252 14614121 15781028 22930444 29228242 37177943 43397827 58456484 63058721 74355886 86795654 126117442 148711772 160755331 173591308 252234884 321510662 643021324 1037602591 2075205182 4150410364 11413628501 22827257002 45654514004