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51340240366056 = 2334547415734843
BaseRepresentation
bin10111010110001100101001…
…10010100010100111101000
320201210002010121212010010000
423223012110302202213220
523212124303013203211
6301105214131423000
713546132005522135
oct1353062462424750
9221702117763100
1051340240366056
11153a4301281954
1259120ba754a60
13228549661b2b5
14c96c4924d58c
155e07266eb656
hex2eb194ca29e8

51340240366056 has 160 divisors (see below), whose sum is σ = 144101890326240. Its totient is φ = 17077528121472.

The previous prime is 51340240366033. The next prime is 51340240366061. The reversal of 51340240366056 is 65066304204315.

51340240366056 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 0 + 2 + 4 + 0 + 36 + 605 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1473456171 + ... + 1473491013.

It is an arithmetic number, because the mean of its divisors is an integer number (900636814539).

Almost surely, 251340240366056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51340240366056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72050945163120).

51340240366056 is an abundant number, since it is smaller than the sum of its proper divisors (92761649960184).

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

51340240366056 is a wasteful number, since it uses less digits than its factorization.

51340240366056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39565 (or 39552 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 51340240366056 in words is "fifty-one trillion, three hundred forty billion, two hundred forty million, three hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 547 648 1094 1641 2188 3282 4157 4376 4923 6564 8314 9846 12471 13128 14769 16628 19692 24942 29538 33256 34843 37413 39384 44307 49884 59076 69686 74826 88614 99768 104529 112239 118152 139372 149652 177228 209058 224478 278744 299304 313587 336717 354456 418116 448956 627174 673434 836232 897912 940761 1254348 1346868 1881522 2273879 2508696 2693736 2822283 3763044 4547758 5644566 6821637 7526088 9095516 11289132 13643274 18191032 19059121 20464911 22578264 27286548 38118242 40929822 54573096 57177363 61394733 76236484 81859644 114354726 122789466 144842351 152472968 163719288 171532089 184184199 228709452 245578932 289684702 343064178 368368398 434527053 457418904 491157864 514596267 579369404 686128356 736736796 869054106 1029192534 1158738808 1303581159 1372256712 1473473592 1543788801 1738108212 2058385068 2607162318 3087577602 3476216424 3910743477 4116770136 5214324636 6175155204 7821486954 10428649272 11732230431 12350310408 15642973908 23464460862 31285947816 46928921724 79228765997 93857843448 158457531994 237686297991 316915063988 475372595982 633830127976 713058893973 950745191964 1426117787946 1901490383928 2139176681919 2852235575892 4278353363838 5704471151784 6417530045757 8556706727676 12835060091514 17113413455352 25670120183028 51340240366056