Search a number
-
+
99646891968 = 26313169323581
BaseRepresentation
bin101110011001101101…
…0101110011111000000
3100112012120012121002110
41130303122232133000
53113034101020333
6113435510415320
710125225415011
oct1346332563700
9315176177073
1099646891968
1139295088888
121738b661540
139520608990
144b741c5008
1528d323a063
hex17336ae7c0

99646891968 has 112 divisors (see below), whose sum is σ = 284109521696. Its totient is φ = 30641172480.

The previous prime is 99646891957. The next prime is 99646891973. The reversal of 99646891968 is 86919864699.

It is a self number, because there is not a number n which added to its sum of digits gives 99646891968.

It is a congruent number.

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, 4213938 + ... + 4237518.

It is an arithmetic number, because the mean of its divisors is an integer number (2536692158).

Almost surely, 299646891968 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 99646891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142054760848).

99646891968 is an abundant number, since it is smaller than the sum of its proper divisors (184462629728).

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

99646891968 is a wasteful number, since it uses less digits than its factorization.

99646891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25302 (or 25292 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 75.

The spelling of 99646891968 in words is "ninety-nine billion, six hundred forty-six million, eight hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1693 2496 3386 5079 6772 10158 13544 20316 22009 23581 27088 40632 44018 47162 54176 66027 70743 81264 88036 94324 108352 132054 141486 162528 176072 188648 264108 282972 306553 325056 352144 377296 528216 565944 613106 704288 754592 919659 1056432 1131888 1226212 1408576 1509184 1839318 2112864 2263776 2452424 3678636 4225728 4527552 4904848 7357272 9809696 14714544 19619392 29429088 39922633 58858176 79845266 119767899 159690532 239535798 319381064 479071596 518994229 638762128 958143192 1037988458 1277524256 1556982687 1916286384 2075976916 2555048512 3113965374 3832572768 4151953832 6227930748 7665145536 8303907664 12455861496 16607815328 24911722992 33215630656 49823445984 99646891968