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96023262816 = 25321390728277
BaseRepresentation
bin101100101101101101…
…1101011011001100000
3100011212000201011101100
41121123123223121200
53033123423402231
6112040143434400
76636355160355
oct1313333533140
9304760634340
1096023262816
11377a56a0648
1216739bb5a00
139093974610
14490cc4462c
15277005c1e6
hex165b6eb660

96023262816 has 144 divisors (see below), whose sum is σ = 294405877584. Its totient is φ = 29512000512.

The previous prime is 96023262763. The next prime is 96023262821. The reversal of 96023262816 is 61826232069.

96023262816 is a `hidden beast` number, since 9 + 6 + 0 + 2 + 3 + 2 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3381670 + ... + 3409946.

It is an arithmetic number, because the mean of its divisors is an integer number (2044485261).

Almost surely, 296023262816 is an apocalyptic number.

96023262816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96023262816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147202938792).

96023262816 is an abundant number, since it is smaller than the sum of its proper divisors (198382614768).

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

96023262816 is a wasteful number, since it uses less digits than its factorization.

96023262816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29213 (or 29202 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96023262816 in words is "ninety-six billion, twenty-three million, two hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 907 936 1248 1814 1872 2721 3628 3744 5442 7256 8163 10884 11791 14512 16326 21768 23582 28277 29024 32652 35373 43536 47164 56554 65304 70746 84831 87072 94328 106119 113108 130608 141492 169662 188656 212238 226216 254493 261216 282984 339324 367601 377312 424476 452432 508986 565968 678648 735202 848952 904864 1017972 1102803 1131936 1357296 1470404 1697904 2035944 2205606 2714592 2940808 3308409 3395808 4071888 4411212 5881616 6616818 8143776 8822424 11763232 13233636 17644848 25647239 26467272 35289696 51294478 52934544 76941717 102588956 105869088 153883434 205177912 230825151 307766868 333414107 410355824 461650302 615533736 666828214 820711648 923300604 1000242321 1231067472 1333656428 1846601208 2000484642 2462134944 2667312856 3000726963 3693202416 4000969284 5334625712 6001453926 7386404832 8001938568 10669251424 12002907852 16003877136 24005815704 32007754272 48011631408 96023262816