Search a number
-
+
44900186016 = 2537142946757
BaseRepresentation
bin101001110100010000…
…100111011110100000
311021220011121210000110
4221310100213132200
51213423421423031
632343222451320
73146445166260
oct516420473640
9137804553013
1044900186016
1118050a91354
128850b93b40
13430733420a
14225d2c97a0
15127bcc3c46
hexa744277a0

44900186016 has 96 divisors (see below), whose sum is σ = 134797703040. Its totient is φ = 12819373056.

The previous prime is 44900186011. The next prime is 44900186063. The reversal of 44900186016 is 61068100944.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (44900186011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936910 + ... + 983666.

It is an arithmetic number, because the mean of its divisors is an integer number (1404142740).

Almost surely, 244900186016 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 44900186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67398851520).

44900186016 is an abundant number, since it is smaller than the sum of its proper divisors (89897517024).

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

44900186016 is a wasteful number, since it uses less digits than its factorization.

44900186016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48206 (or 48198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 44900186016 in words is "forty-four billion, nine hundred million, one hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1429 2858 4287 5716 8574 10003 11432 17148 20006 22864 30009 34296 40012 45728 46757 60018 68592 80024 93514 120036 137184 140271 160048 187028 240072 280542 320096 327299 374056 480144 561084 654598 748112 960288 981897 1122168 1309196 1496224 1963794 2244336 2618392 3927588 4488672 5236784 7855176 10473568 15710352 31420704 66815753 133631506 200447259 267263012 400894518 467710271 534526024 801789036 935420542 1069052048 1403130813 1603578072 1870841084 2138104096 2806261626 3207156144 3741682168 5612523252 6414312288 7483364336 11225046504 14966728672 22450093008 44900186016