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993411396096 = 2937118178233
BaseRepresentation
bin11100111010010111110…
…11101111001000000000
310111222011112210200001020
432131023323233020000
5112234001304133341
62040211125505440
7131525442354210
oct16351373571000
93458145720036
10993411396096
113533379202a9
12140643572280
13728a8294352
143611d3ba240
151ac93112566
hexe74beef200

993411396096 has 160 divisors (see below), whose sum is σ = 3027182640768. Its totient is φ = 283587870720.

The previous prime is 993411396037. The next prime is 993411396163. The reversal of 993411396096 is 690693114399.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12658996 + ... + 12737228.

Almost surely, 2993411396096 is an apocalyptic number.

993411396096 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 993411396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513591320384).

993411396096 is an abundant number, since it is smaller than the sum of its proper divisors (2033771244672).

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

993411396096 is a wasteful number, since it uses less digits than its factorization.

993411396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79442 (or 79426 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 993411396096 in words is "nine hundred ninety-three billion, four hundred eleven million, three hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1181 1344 1536 1792 2362 2688 3543 3584 4724 5376 7086 8267 9448 10752 14172 16534 18896 24801 28344 33068 37792 49602 56688 66136 75584 78233 99204 113376 132272 151168 156466 198408 226752 234699 264544 302336 312932 396816 453504 469398 529088 547631 604672 625864 793632 907008 938796 1058176 1095262 1251728 1587264 1642893 1814016 1877592 2116352 2190524 2503456 3174528 3285786 3755184 4232704 4381048 5006912 6349056 6571572 7510368 8762096 10013824 12698112 13143144 15020736 17524192 20027648 26286288 30041472 35048384 40055296 52572576 60082944 70096768 92393173 105145152 120165888 140193536 184786346 210290304 277179519 280387072 369572692 420580608 554359038 646752211 739145384 841161216 1108718076 1293504422 1478290768 1940256633 2217436152 2587008844 2956581536 3880513266 4434872304 5174017688 5913163072 7761026532 8869744608 10348035376 11826326144 15522053064 17739489216 20696070752 23652652288 31044106128 35478978432 41392141504 47305304576 62088212256 70957956864 82784283008 124176424512 141915913728 165568566016 248352849024 331137132032 496705698048 993411396096