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996245125344 = 253271729068777
BaseRepresentation
bin11100111111101001101…
…01100011100011100000
310112020111000222000210100
432133310311203203200
5112310302223002334
62041400234302400
7131655611562420
oct16376465434340
93466430860710
10996245125344
11354561445aa7
121410b4587a00
1372c3a3a0b11
143630b8a0480
151adabcb0c99
hexe7f4d638e0

996245125344 has 144 divisors (see below), whose sum is σ = 3428255402208. Its totient is φ = 267897839616.

The previous prime is 996245125301. The next prime is 996245125349. The reversal of 996245125344 is 443521542699.

996245125344 is a `hidden beast` number, since 9 + 9 + 62 + 45 + 1 + 2 + 534 + 4 = 666.

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

It is a super-2 number, since 2×9962451253442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996245125349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14500117 + ... + 14568660.

It is an arithmetic number, because the mean of its divisors is an integer number (23807329182).

Almost surely, 2996245125344 is an apocalyptic number.

It is an amenable number.

996245125344 is an abundant number, since it is smaller than the sum of its proper divisors (2432010276864).

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

996245125344 is a wasteful number, since it uses less digits than its factorization.

996245125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29068817 (or 29068806 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 996245125344 in words is "nine hundred ninety-six billion, two hundred forty-five million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 29068777 58137554 87206331 116275108 174412662 203481439 232550216 261618993 348825324 406962878 465100432 494169209 523237986 610444317 697650648 813925756 930200864 988338418 1046475972 1220888634 1395301296 1482507627 1627851512 1831332951 1976676836 2092951944 2441777268 2790602592 2965015254 3255703024 3459184463 3662665902 3953353672 4185903888 4447522881 4883554536 5930030508 6511406048 6918368926 7325331804 7906707344 8371807776 8895045762 9767109072 10377553389 11860061016 13836737852 14650663608 15813414688 17790091524 19534218144 20755106778 23720122032 27673475704 29301327216 31132660167 35580183048 41510213556 47440244064 55346951408 58602654432 62265320334 71160366096 83020427112 110693902816 124530640668 142320732192 166040854224 249061281336 332081708448 498122562672 996245125344