Search a number
-
+
9977218839 = 3272193171541
BaseRepresentation
bin10010100101011000…
…00100011100010111
3221202022220020020200
421102230010130113
5130413132000324
64330010231543
7502146650400
oct112254043427
927668806220
109977218839
11425a975205
121b254255b3
13c300721b3
146a91129a7
153d5dacec9
hex252b04717

9977218839 has 144 divisors (see below), whose sum is σ = 18506741760. Its totient is φ = 5143824000.

The previous prime is 9977218837. The next prime is 9977218843. The reversal of 9977218839 is 9388127799.

It is not a de Polignac number, because 9977218839 - 21 = 9977218837 is a prime.

It is a super-2 number, since 2×99772188392 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (13716864) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977218837) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18441909 + ... + 18442449.

It is an arithmetic number, because the mean of its divisors is an integer number (128519040).

Almost surely, 29977218839 is an apocalyptic number.

9977218839 is a deficient number, since it is larger than the sum of its proper divisors (8529522921).

9977218839 is a wasteful number, since it uses less digits than its factorization.

9977218839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The square root of 9977218839 is about 99886.0292483388. The cubic root of 9977218839 is about 2152.7974286600.

The spelling of 9977218839 in words is "nine billion, nine hundred seventy-seven million, two hundred eighteen thousand, eight hundred thirty-nine".

Divisors: 1 3 7 9 19 21 31 49 57 63 71 93 133 147 171 213 217 279 399 441 497 541 589 639 651 931 1197 1349 1491 1519 1623 1767 1953 2201 2793 3479 3787 4047 4123 4473 4557 4869 5301 6603 8379 9443 10279 10437 11361 12141 12369 13671 15407 16771 19809 26509 28329 28861 30837 31311 34083 37107 38411 41819 46221 50313 66101 71953 79527 84987 86583 92511 107849 115233 117397 125457 138663 150939 198303 215859 238581 259749 268877 292733 318649 323547 345699 352191 376371 503671 594909 647577 729809 806631 821779 878199 955947 970641 1056573 1190741 1511013 1882139 2049131 2189427 2230543 2419893 2465337 2634597 2867841 3572223 4533039 5108663 5646417 6147393 6568281 6691629 7396011 8335187 10716669 15325989 15613801 16939251 18442179 20074887 22624079 25005561 35760641 45977967 46841403 58346309 67872237 75016683 107281923 140524209 158368553 175038927 203616711 321845769 475105659 525116781 1108579871 1425316977 3325739613 9977218839