Search a number
-
+
9797657923728 = 24321929123483287
BaseRepresentation
bin1000111010010011000111…
…1010111001000010010000
31021200122110121220202200100
42032210301322321002100
52241011100412024403
632500552032052400
72030600045152503
oct216446172710220
937618417822610
109797657923728
1131381885232a4
121122a27994100
13560bb88515cc
1425c2cdd8913a
1511ecd608a2a3
hex8e931eb9090

9797657923728 has 120 divisors (see below), whose sum is σ = 29858259038400. Its totient is φ = 2987307654912.

The previous prime is 9797657923693. The next prime is 9797657923751. The reversal of 9797657923728 is 8273297567979.

9797657923728 is a `hidden beast` number, since 9 + 7 + 9 + 7 + 6 + 579 + 2 + 37 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61662300 + ... + 61820987.

It is an arithmetic number, because the mean of its divisors is an integer number (248818825320).

Almost surely, 29797657923728 is an apocalyptic number.

It is an amenable number.

9797657923728 is an abundant number, since it is smaller than the sum of its proper divisors (20060601114672).

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

9797657923728 is a wasteful number, since it uses less digits than its factorization.

9797657923728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123483349 (or 123483340 counting only the distinct ones).

The product of its digits is 5040947520, while the sum is 81.

The spelling of 9797657923728 in words is "nine trillion, seven hundred ninety-seven billion, six hundred fifty-seven million, nine hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 8816 9918 13224 19836 26448 39672 79344 123483287 246966574 370449861 493933148 740899722 987866296 1111349583 1481799444 1975732592 2222699166 2346182453 2963598888 3581015323 4445398332 4692364906 5927197776 7038547359 7162030646 8890796664 9384729812 10743045969 14077094718 14324061292 17781593328 18769459624 21115642077 21486091938 28154189436 28648122584 32229137907 37538919248 42231284154 42972183876 56308378872 57296245168 64458275814 68039291137 84462568308 85944367752 112616757744 128916551628 136078582274 168925136616 171888735504 204117873411 257833103256 272157164548 337850273232 408235746822 515666206512 544314329096 612353620233 816471493644 1088628658192 1224707240466 1632942987288 2449414480932 3265885974576 4898828961864 9797657923728