Search a number
-
+
45416216510 = 25710113746889
BaseRepresentation
bin101010010011000001…
…000111011110111110
311100020010121211202222
4222103001013132332
51221003022412020
632510335045342
73165312320330
oct522301073676
9140203554688
1045416216510
11182962a7735
128975970852
13438a20c9c2
1422aba55450
1512ac256b25
hexa930477be

45416216510 has 64 divisors (see below), whose sum is σ = 95043404160. Its totient is φ = 15304243200.

The previous prime is 45416216453. The next prime is 45416216551. The reversal of 45416216510 is 1561261454.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945146 + ... + 992034.

It is an arithmetic number, because the mean of its divisors is an integer number (1485053190).

Almost surely, 245416216510 is an apocalyptic number.

45416216510 is an abundant number, since it is smaller than the sum of its proper divisors (49627187650).

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

45416216510 is a wasteful number, since it uses less digits than its factorization.

45416216510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47141.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 45416216510 its reverse (1561261454), we get a palindrome (46977477964).

The spelling of 45416216510 in words is "forty-five billion, four hundred sixteen million, two hundred sixteen thousand, five hundred ten".

Divisors: 1 2 5 7 10 14 35 70 101 137 202 274 505 685 707 959 1010 1370 1414 1918 3535 4795 7070 9590 13837 27674 46889 69185 93778 96859 138370 193718 234445 328223 468890 484295 656446 968590 1641115 3282230 4735789 6423793 9471578 12847586 23678945 32118965 33150523 44966551 47357890 64237930 66301046 89933102 165752615 224832755 331505230 449665510 648803093 1297606186 3244015465 4541621651 6488030930 9083243302 22708108255 45416216510