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393493998681 = 367233192
BaseRepresentation
bin1011011100111100001…
…00011110110001011001
31101121200021101021000000
411232132010132301121
522421333430424211
6500434010003213
740300101542100
oct5563604366131
91347607337000
10393493998681
11141975116303
1264318416509
132b14c798a14
141508c0b9037
15a38065e656
hex5b9e11ec59

393493998681 has 63 divisors (see below), whose sum is σ = 686499765381. Its totient is φ = 224785966104.

The previous prime is 393493998679. The next prime is 393493998697. The reversal of 393493998681 is 186899394393.

The square root of 393493998681 is 627291.

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

393493998681 is a `hidden beast` number, since 393 + 4 + 93 + 9 + 98 + 68 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 393493998681 - 21 = 393493998679 is a prime.

It is a super-2 number, since 2×3934939986812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (393493998881) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 118556340 + ... + 118559658.

Almost surely, 2393493998681 is an apocalyptic number.

393493998681 is the 627291-st square number.

393493998681 is the 313646-th centered octagonal number.

It is an amenable number.

393493998681 is a deficient number, since it is larger than the sum of its proper divisors (293005766700).

393493998681 is an frugal number, since it uses more digits than its factorization.

393493998681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 3329 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 393493998681 in words is "three hundred ninety-three billion, four hundred ninety-three million, nine hundred ninety-eight thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3319 3969 5103 9957 11907 23233 29871 35721 69699 89613 162631 209097 268839 487893 627291 806517 1463679 1881873 2419551 4391037 5645619 11015761 13173111 16936857 33047283 39519333 77110327 99141849 118557999 231330981 297425547 539772289 693992943 892276641 1619316867 2081978829 2676829923 4857950601 6245936487 8030489769 14573851803 18737809461 43721555409 56213428383 131164666227 393493998681