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83194668032 = 210724313847
BaseRepresentation
bin100110101111011001…
…0011110010000000000
321221201222110000200012
41031132302132100000
52330340313334112
6102115154244052
76003433003400
oct1153662362000
9257658400605
1083194668032
11323122484a3
1214159886628
137acac57728
144053176800
15226dbb7022
hex135ec9e400

83194668032 has 132 divisors (see below), whose sum is σ = 193959702144. Its totient is φ = 35562885120.

The previous prime is 83194668023. The next prime is 83194668043. The reversal of 83194668032 is 23086649138.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21623933 + ... + 21627779.

Almost surely, 283194668032 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 83194668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96979851072).

83194668032 is an abundant number, since it is smaller than the sum of its proper divisors (110765034112).

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

83194668032 is a wasteful number, since it uses less digits than its factorization.

83194668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 83194668032 in words is "eighty-three billion, one hundred ninety-four million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 431 448 512 784 862 896 1024 1568 1724 1792 3017 3136 3448 3584 3847 6034 6272 6896 7168 7694 12068 12544 13792 15388 21119 24136 25088 26929 27584 30776 42238 48272 50176 53858 55168 61552 84476 96544 107716 110336 123104 168952 188503 193088 215432 220672 246208 337904 377006 386176 430864 441344 492416 675808 754012 772352 861728 984832 1351616 1508024 1544704 1658057 1723456 1969664 2703232 3016048 3089408 3316114 3446912 3939328 5406464 6032096 6632228 6893824 10812928 11606399 12064192 13264456 13787648 21625856 23212798 24128384 26528912 27575296 46425596 48256768 53057824 81244793 92851192 96513536 106115648 162489586 185702384 193027072 212231296 324979172 371404768 424462592 649958344 742809536 848925184 1299916688 1485619072 1697850368 2599833376 2971238144 5199666752 5942476288 10399333504 11884952576 20798667008 41597334016 83194668032