Search a number
-
+
997803203696 = 2413292112413253
BaseRepresentation
bin11101000010100011011…
…01001001110001110000
310112101111121202121110222
432201101231021301300
5112322000110004241
62042215013312212
7132042331202045
oct16412155116160
93471447677428
10997803203696
11355190994362
1214146a335668
1373128119480
14364187a11cc
151ae4d97da4b
hexe851b49c70

997803203696 has 160 divisors (see below), whose sum is σ = 2173600672320. Its totient is φ = 440565350400.

The previous prime is 997803203687. The next prime is 997803203759. The reversal of 997803203696 is 696302308799.

It is a super-2 number, since 2×9978032036962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306731606 + ... + 306734858.

It is an arithmetic number, because the mean of its divisors is an integer number (13585004202).

Almost surely, 2997803203696 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 997803203696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086800336160).

997803203696 is an abundant number, since it is smaller than the sum of its proper divisors (1175797468624).

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

997803203696 is a wasteful number, since it uses less digits than its factorization.

997803203696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 62.

The spelling of 997803203696 in words is "nine hundred ninety-seven billion, eight hundred three million, two hundred three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 211 232 241 377 422 464 482 754 844 964 1508 1688 1928 2743 3016 3133 3253 3376 3856 5486 6032 6119 6266 6506 6989 10972 12238 12532 13012 13978 21944 24476 25064 26024 27956 42289 43888 48952 50128 50851 52048 55912 79547 84578 90857 94337 97904 101702 111824 159094 169156 181714 188674 203404 318188 338312 363428 377348 406808 636376 661063 676624 686383 726856 754696 783973 813616 1226381 1272752 1322126 1372766 1453712 1474679 1509392 1567946 2452762 2644252 2745532 2949358 3135892 4905524 5288504 5491064 5898716 6271784 8922979 9811048 10191649 10577008 10982128 11797432 12543568 17845958 19170827 19622096 19905107 20383298 22735217 23594864 35691916 38341654 39810214 40766596 45470434 71383832 76683308 79620428 81533192 90940868 142767664 153366616 159240856 163066384 165418303 181881736 258766391 295557821 306733232 318481712 330836606 363763472 517532782 591115642 661673212 1035065564 1182231284 1323346424 2070131128 2150437939 2364462568 2646692848 4140262256 4300875878 4728925136 4797130787 8601751756 9594261574 17203503512 19188523148 34407007024 38377046296 62362700231 76754092592 124725400462 249450800924 498901601848 997803203696