Search a number
-
+
45515662336 = 2105921132
BaseRepresentation
bin101010011000111100…
…011110010000000000
311100111001202012210201
4222120330132100000
51221204002143321
632524250334544
73200630514004
oct523074362000
9140431665721
1045515662336
111833744a871
1289a312a454
1343a49bb1a1
1422bad40704
1512b5d4c291
hexa98f1e400

45515662336 has 99 divisors (see below), whose sum is σ = 93381485041. Its totient is φ = 22174121984.

The previous prime is 45515662333. The next prime is 45515662337. The reversal of 45515662336 is 63326651554.

The square root of 45515662336 is 213344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 802022400 + 44713639936 = 28320^2 + 211456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45515662333) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 402793416 + ... + 402793528.

Almost surely, 245515662336 is an apocalyptic number.

45515662336 is the 213344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45515662336

45515662336 is an abundant number, since it is smaller than the sum of its proper divisors (47865822705).

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

45515662336 is an frugal number, since it uses more digits than its factorization.

45515662336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 174 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 46.

The spelling of 45515662336 in words is "forty-five billion, five hundred fifteen million, six hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 113 118 128 226 236 256 452 472 512 904 944 1024 1808 1888 3481 3616 3776 6667 6962 7232 7552 12769 13334 13924 14464 15104 25538 26668 27848 28928 30208 51076 53336 55696 57856 60416 102152 106672 111392 115712 204304 213344 222784 393353 408608 426688 445568 753371 786706 817216 853376 891136 1506742 1573412 1634432 1706752 1782272 3013484 3146824 3268864 3413504 3564544 6026968 6293648 6537728 6827008 12053936 12587296 13075456 24107872 25174592 44448889 48215744 50349184 88897778 96431488 100698368 177795556 192862976 201396736 355591112 385725952 402793472 711182224 771451904 1422364448 2844728896 5689457792 11378915584 22757831168 45515662336