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7984942183696 = 243726123132
BaseRepresentation
bin111010000110010001110…
…1001000111010100010000
31001021100112100110002010011
41310030203221013110100
52021311130144334241
624552122022444304
71452615211456162
oct164144351072420
931240470402104
107984942183696
1125a9438771a55
12a8b650b93694
1345bc910b409a
141d868a8c8932
15dca90030281
hex74323a47510

7984942183696 has 135 divisors (see below), whose sum is σ = 16217000758413. Its totient is φ = 3808677749760.

The previous prime is 7984942183661. The next prime is 7984942183747. The reversal of 7984942183696 is 6963812494897.

The square root of 7984942183696 is 2825764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7946963969296 + 37978214400 = 2819036^2 + 194880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25510997236 + ... + 25510997548.

Almost surely, 27984942183696 is an apocalyptic number.

7984942183696 is the 2825764-th square number.

It is an amenable number.

7984942183696 is an abundant number, since it is smaller than the sum of its proper divisors (8232058574717).

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

7984942183696 is an frugal number, since it uses more digits than its factorization.

7984942183696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 413 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 76.

The spelling of 7984942183696 in words is "seven trillion, nine hundred eighty-four billion, nine hundred forty-two million, one hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 37 61 74 122 148 244 296 313 488 592 626 976 1252 1369 2257 2504 2738 3721 4514 5008 5476 7442 9028 10952 11581 14884 18056 19093 21904 23162 29768 36112 38186 46324 59536 76372 83509 92648 97969 137677 152744 167018 185296 195938 275354 305488 334036 391876 428497 550708 668072 706441 783752 856994 1101416 1164673 1336144 1412882 1567504 1713988 2202832 2329346 2825764 3427976 3624853 4658692 5094049 5651528 5976109 6855952 7249706 9317384 10188098 11303056 11952218 14499412 18634768 20376196 23904436 26138317 28998824 40752392 43092901 47808872 52276634 57997648 81504784 86185802 95617744 104553268 134119561 172371604 209106536 221116033 268239122 344743208 364542649 418213072 442232066 536478244 689486416 729085298 884464132 1072956488 1458170596 1594437337 1768928264 2145912976 2916341192 3188874674 3537856528 5832682384 6377749348 8181293221 12755498696 13488078013 16362586442 25510997392 26976156026 32725172884 53952312052 65450345768 107904624104 130900691536 215809248208 499058886481 998117772962 1996235545924 3992471091848 7984942183696