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86036162121 = 34713171936137
BaseRepresentation
bin101000000100000100…
…1111010011001001001
322020002000012212210000
41100020021322121021
52402200224141441
6103305141313213
76134025211620
oct1201011723111
9266060185700
1086036162121
1133540197018
1214811405809
138161852590
1442426bc6b7
15238839b2b6
hex140827a649

86036162121 has 160 divisors (see below), whose sum is σ = 176307183360. Its totient is φ = 40463069184.

The previous prime is 86036162063. The next prime is 86036162129. The reversal of 86036162121 is 12126163068.

It is a happy number.

86036162121 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 6 + 1 + 621 + 21 = 666.

It is not a de Polignac number, because 86036162121 - 27 = 86036161993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86036162129) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2362765 + ... + 2398901.

It is an arithmetic number, because the mean of its divisors is an integer number (1101919896).

Almost surely, 286036162121 is an apocalyptic number.

86036162121 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86036162121 is an abundant number, since it is smaller than the sum of its proper divisors (90271021239).

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

86036162121 is a wasteful number, since it uses less digits than its factorization.

86036162121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36205 (or 36196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 86036162121 in words is "eighty-six billion, thirty-six million, one hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 17 19 21 27 39 51 57 63 81 91 117 119 133 153 171 189 221 247 273 323 351 357 399 459 513 567 663 741 819 969 1053 1071 1197 1377 1539 1547 1729 1989 2223 2261 2457 2907 3213 3591 4199 4641 5187 5967 6669 6783 7371 8721 9639 10773 12597 13923 15561 17901 20007 20349 26163 29393 36137 37791 41769 46683 61047 88179 108411 113373 125307 140049 183141 252959 264537 325233 340119 469781 614329 686603 758877 793611 975699 1409343 1842987 2059809 2276631 2380833 2927097 3288467 4228029 4300303 4806221 5528961 6179427 6829893 7986277 8925839 9865401 11672251 12684087 12900909 14418663 16586883 18538281 20489679 23958831 26777517 29596203 35016753 38052261 38702727 43255989 49760649 55614843 55903939 62480873 71876493 80332551 81705757 88788609 105050259 116108181 129767967 151739263 167711817 187442619 215629479 240997653 245117271 266365827 315150777 348324543 389303901 455217789 503135451 562327857 646888437 722992959 735351813 945452331 1062174841 1365653367 1509406353 1686983571 2206055439 3186524523 4096960101 4528219059 5060950713 6618166317 9559573569 12290880303 28678720707 86036162121