Search a number
-
+
51693918507 = 32711219615851
BaseRepresentation
bin110000001001001100…
…101001100100101011
311221102122020010222100
4300021030221210223
51321332120343012
635425312024443
73510011025450
oct601114514453
9157378203870
1051693918507
111aa17962100
12a028232123
134b4a99a17a
1427056b1827
1515284468dc
hexc0932992b

51693918507 has 144 divisors (see below), whose sum is σ = 100371631360. Its totient is φ = 25019280000.

The previous prime is 51693918491. The next prime is 51693918511. The reversal of 51693918507 is 70581939615.

It is not a de Polignac number, because 51693918507 - 24 = 51693918491 is a prime.

It is a super-2 number, since 2×516939185072 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51693918517) 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, 8832132 + ... + 8837982.

Almost surely, 251693918507 is an apocalyptic number.

51693918507 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

51693918507 is a deficient number, since it is larger than the sum of its proper divisors (48677712853).

51693918507 is a wasteful number, since it uses less digits than its factorization.

51693918507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 51693918507 in words is "fifty-one billion, six hundred ninety-three million, nine hundred eighteen thousand, five hundred seven".

Divisors: 1 3 7 9 11 19 21 33 57 61 63 77 99 121 133 171 183 209 231 363 399 427 549 627 671 693 847 1089 1159 1197 1281 1463 1881 2013 2299 2541 3477 3843 4389 4697 5851 6039 6897 7381 7623 8113 10431 12749 13167 14091 16093 17553 20691 22143 24339 38247 40957 42273 48279 51667 52659 64361 66429 73017 89243 111169 114741 122871 140239 144837 155001 193083 267729 333507 356911 368613 420717 450527 465003 579249 707971 778183 803187 981673 1000521 1070733 1222859 1262151 1351581 2123913 2334549 2498377 2945019 3212199 3668577 3926021 4054743 4955797 6371739 6781309 7003647 7495131 8560013 8835057 11005731 11778063 13451449 14867391 20343927 22485393 25680039 27482147 35334189 40354347 43186231 44602173 47469163 61031781 74594399 77040117 82446441 94160143 121063041 129558693 142407489 223783197 247339323 282480429 302303617 388676079 427222467 522160793 671349591 820538389 847441287 906910851 1566482379 2461615167 2720732553 4699447137 5743768723 7384845501 17231306169 51693918507