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216338148915 = 35731973671867
BaseRepresentation
bin1100100101111011000…
…0100010111000110011
3202200101222101122101220
43021132300202320303
512021030031231130
6243215005200123
721426026632140
oct3113660427063
9680358348356
10216338148915
1183826277309
1235b17260043
131752916c305
14a683d173c7
1559629b2410
hex325ec22e33

216338148915 has 128 divisors (see below), whose sum is σ = 413906239488. Its totient is φ = 94411837440.

The previous prime is 216338148907. The next prime is 216338148937. The reversal of 216338148915 is 519841833612.

216338148915 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216338148915 - 23 = 216338148907 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 115873812 + ... + 115875678.

It is an arithmetic number, because the mean of its divisors is an integer number (3233642496).

Almost surely, 2216338148915 is an apocalyptic number.

216338148915 is a deficient number, since it is larger than the sum of its proper divisors (197568090573).

216338148915 is a wasteful number, since it uses less digits than its factorization.

216338148915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377.

The product of its digits is 1244160, while the sum is 51.

The spelling of 216338148915 in words is "two hundred sixteen billion, three hundred thirty-eight million, one hundred forty-eight thousand, nine hundred fifteen".

Divisors: 1 3 5 7 15 21 31 35 93 97 105 155 217 291 367 465 485 651 679 1085 1101 1455 1835 1867 2037 2569 3007 3255 3395 5505 5601 7707 9021 9335 10185 11377 12845 13069 15035 21049 28005 34131 35599 38535 39207 45105 56885 57877 63147 65345 79639 105245 106797 170655 173631 177995 181099 196035 238917 249193 289385 315735 398195 405139 533985 543297 685189 747579 868155 905495 1103569 1194585 1215417 1245965 1267693 2025695 2055567 2716485 3310707 3425945 3737895 3803079 4796323 5517845 5614069 6077085 6338465 7724983 10277835 14388969 16553535 16842207 19015395 21240859 23174949 23981615 28070345 38624915 39298483 63722577 66463333 71944845 84211035 106204295 115874745 117895449 148686013 196492415 199389999 318612885 332316665 446058039 465243331 589477245 743430065 996949995 1395729993 2060363323 2230290195 2326216655 6181089969 6978649965 10301816615 14422543261 30905449845 43267629783 72112716305 216338148915