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823214412328 = 237118669154157
BaseRepresentation
bin10111111101010110110…
…01110001001000101000
32220200212020011001222211
423332223121301020220
5101441420342143303
61430102433454504
7113322010023310
oct13765331611050
92820766131884
10823214412328
1129813a090330
12113664a11434
135c82359ab29
142bbb5508440
151663135666d
hexbfab671228

823214412328 has 64 divisors (see below), whose sum is σ = 1924631798400. Its totient is φ = 320693809920.

The previous prime is 823214412271. The next prime is 823214412329.

823214412328 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (823214412329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5263026 + ... + 5417182.

It is an arithmetic number, because the mean of its divisors is an integer number (30072371850).

Almost surely, 2823214412328 is an apocalyptic number.

823214412328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823214412328 is an abundant number, since it is smaller than the sum of its proper divisors (1101417386072).

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

823214412328 is a wasteful number, since it uses less digits than its factorization.

823214412328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162850 (or 162846 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 823214412328 in words is "eight hundred twenty-three billion, two hundred fourteen million, four hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 8669 17338 34676 60683 69352 95359 121366 154157 190718 242732 308314 381436 485464 616628 667513 762872 1079099 1233256 1335026 1695727 2158198 2670052 3391454 4316396 5340104 6782908 8632792 11870089 13565816 23740178 47480356 94960712 1336387033 2672774066 5345548132 9354709231 10691096264 14700257363 18709418462 29400514726 37418836924 58801029452 74837673848 102901801541 117602058904 205803603082 411607206164 823214412328