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96046742518336 = 261076
BaseRepresentation
bin10101110101101010011111…
…111110000011101001000000
3110121001222102121220210012101
4111311222133332003221000
5100042112212041041321
6540135133035040144
726142101550033601
oct2565523776035100
9417058377823171
1096046742518336
1128670216244455
12a9326038a0054
134179227273aac
1419a0989733da8
15b185e2204791
hex575a9ff83a40

96046742518336 has 49 divisors (see below), whose sum is σ = 192390799540339. Its totient is φ = 47574554705344.

The previous prime is 96046742518301. The next prime is 96046742518357. The reversal of 96046742518336 is 63381524764069.

The square root of 96046742518336 is 9800344.

The cubic root of 96046742518336 is 45796.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 897633107595 + ... + 897633107701.

It is a 2-persistent number, because it is pandigital, and so is 2⋅96046742518336 = 192093485036672, but 3⋅96046742518336 = 288140227555008 is not.

Almost surely, 296046742518336 is an apocalyptic number.

96046742518336 is the 9800344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96046742518336

96046742518336 is an abundant number, since it is smaller than the sum of its proper divisors (96344057022003).

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

96046742518336 is an frugal number, since it uses more digits than its factorization.

96046742518336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

96046742518336 divided by its sum of digits (64) gives a 6-th power (1500730351849 = 1076).

The spelling of 96046742518336 in words is "ninety-six trillion, forty-six billion, seven hundred forty-two million, five hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 6848 11449 22898 45796 91592 183184 366368 732736 1225043 2450086 4900172 9800344 19600688 39201376 78402752 131079601 262159202 524318404 1048636808 2097273616 4194547232 8389094464 14025517307 28051034614 56102069228 112204138456 224408276912 448816553824 897633107648 1500730351849 3001460703698 6002921407396 12005842814792 24011685629584 48023371259168 96046742518336