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83993532416 = 211295572539
BaseRepresentation
bin100111000111001100…
…1111001100000000000
322000210122122112120222
41032032121321200000
52334004321014131
6102330332522212
76032303150153
oct1161631714000
9260718575528
1083993532416
11326921830a2
1214341320368
137bc7600751
1440cb2c7c9a
1522b8db787b
hex138e679800

83993532416 has 96 divisors (see below), whose sum is σ = 174117762000. Its totient is φ = 40459862016.

The previous prime is 83993532407. The next prime is 83993532421. The reversal of 83993532416 is 61423539938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33080075 + ... + 33082613.

Almost surely, 283993532416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83993532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87058881000).

83993532416 is an abundant number, since it is smaller than the sum of its proper divisors (90124229584).

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

83993532416 is a wasteful number, since it uses less digits than its factorization.

83993532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3127 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 53.

The spelling of 83993532416 in words is "eighty-three billion, nine hundred ninety-three million, five hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 557 928 1024 1114 1856 2048 2228 2539 3712 4456 5078 7424 8912 10156 14848 16153 17824 20312 29696 32306 35648 40624 59392 64612 71296 73631 81248 129224 142592 147262 162496 258448 285184 294524 324992 516896 570368 589048 649984 1033792 1140736 1178096 1299968 1414223 2067584 2356192 2599936 2828446 4135168 4712384 5199872 5656892 8270336 9424768 11313784 16540672 18849536 22627568 33081344 37699072 41012467 45255136 75398144 82024934 90510272 150796288 164049868 181020544 328099736 362041088 656199472 724082176 1312398944 1448164352 2624797888 2896328704 5249595776 10499191552 20998383104 41996766208 83993532416