Search a number
-
+
993305610992 = 24476359207719
BaseRepresentation
bin11100111010001011010…
…00001100101011110000
310111221220011202020011102
432131011220030223300
5112233242214022432
62040152430303532
7131523016245632
oct16350550145360
93457804666142
10993305610992
113532931383a2
12140614057ba8
137288c3a6606
143610d320a52
151ac88bb8962
hexe745a0caf0

993305610992 has 40 divisors (see below), whose sum is σ = 1965795609600. Its totient is φ = 486006944192.

The previous prime is 993305610959. The next prime is 993305611031. The reversal of 993305610992 is 299016503399.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4678109 + ... + 4885827.

It is an arithmetic number, because the mean of its divisors is an integer number (49144890240).

Almost surely, 2993305610992 is an apocalyptic number.

It is an amenable number.

993305610992 is a deficient number, since it is larger than the sum of its proper divisors (972489998608).

993305610992 is a wasteful number, since it uses less digits than its factorization.

993305610992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214133 (or 214127 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 56.

The spelling of 993305610992 in words is "nine hundred ninety-three billion, three hundred five million, six hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 47 94 188 376 752 6359 12718 25436 50872 101744 207719 298873 415438 597746 830876 1195492 1661752 2390984 3323504 4781968 9762793 19525586 39051172 78102344 156204688 1320885121 2641770242 5283540484 10567080968 21134161936 62081600687 124163201374 248326402748 496652805496 993305610992