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99451354112 = 2101138922697
BaseRepresentation
bin101110010011111000…
…0110011110000000000
3100111200221021020120122
41130213300303300000
53112134021312422
6113404243355412
710120332363545
oct1344760636000
9314627236518
1099451354112
11391a4773350
1217336082b68
1394bbc546c6
144b56244bcc
1528c0eb2d42
hex1727c33c00

99451354112 has 88 divisors (see below), whose sum is σ = 217445932080. Its totient is φ = 45086965760.

The previous prime is 99451354111. The next prime is 99451354117. The reversal of 99451354112 is 21145315499.

99451354112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99451354111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4370348 + ... + 4393044.

Almost surely, 299451354112 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 99451354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108722966040).

99451354112 is an abundant number, since it is smaller than the sum of its proper divisors (117994577968).

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

99451354112 is a wasteful number, since it uses less digits than its factorization.

99451354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23099 counting only the distinct ones).

The product of its digits is 194400, while the sum is 44.

The spelling of 99451354112 in words is "ninety-nine billion, four hundred fifty-one million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 389 512 704 778 1024 1408 1556 2816 3112 4279 5632 6224 8558 11264 12448 17116 22697 24896 34232 45394 49792 68464 90788 99584 136928 181576 199168 249667 273856 363152 398336 499334 547712 726304 998668 1095424 1452608 1997336 2190848 2905216 3994672 4381696 5810432 7989344 8829133 11620864 15978688 17658266 23241728 31957376 35316532 63914752 70633064 97120463 127829504 141266128 194240926 255659008 282532256 388481852 565064512 776963704 1130129024 1553927408 2260258048 3107854816 4520516096 6215709632 9041032192 12431419264 24862838528 49725677056 99451354112