Search a number
-
+
15122320512 = 2731329104459
BaseRepresentation
bin11100001010101110…
…00100110010000000
31110000220022110212220
432011113010302000
5221432303224022
610540323451040
71043513413665
oct160527046200
943026273786
1015122320512
116460179252
122b20526a80
13156cca6260
14a36585a6c
155d792785c
hex3855c4c80

15122320512 has 128 divisors (see below), whose sum is σ = 44750664000. Its totient is φ = 4492529664.

The previous prime is 15122320501. The next prime is 15122320517. The reversal of 15122320512 is 21502322151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (15122320517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92539 + ... + 196997.

Almost surely, 215122320512 is an apocalyptic number.

15122320512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15122320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22375332000).

15122320512 is an abundant number, since it is smaller than the sum of its proper divisors (29628343488).

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

15122320512 is a wasteful number, since it uses less digits than its factorization.

15122320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104518 (or 104506 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 15122320512 its reverse (21502322151), we get a palindrome (36624642663).

The spelling of 15122320512 in words is "fifteen billion, one hundred twenty-two million, three hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 416 464 624 696 754 832 928 1131 1248 1392 1508 1664 1856 2262 2496 2784 3016 3712 4524 4992 5568 6032 9048 11136 12064 18096 24128 36192 48256 72384 104459 144768 208918 313377 417836 626754 835672 1253508 1357967 1671344 2507016 2715934 3029311 3342688 4073901 5014032 5431868 6058622 6685376 8147802 9087933 10028064 10863736 12117244 13370752 16295604 18175866 20056128 21727472 24234488 32591208 36351732 39381043 40112256 43454944 48468976 65182416 72703464 78762086 86909888 96937952 118143129 130364832 145406928 157524172 173819776 193875904 236286258 260729664 290813856 315048344 387751808 472572516 521459328 581627712 630096688 945145032 1163255424 1260193376 1890290064 2520386752 3780580128 5040773504 7561160256 15122320512