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45002380968 = 23324179192971
BaseRepresentation
bin101001111010010110…
…011101011010101000
311022011021220211010200
4221322112131122220
51214131102142333
632401313112200
73152125632606
oct517226353250
9138137824120
1045002380968
11180a3741996
12887b258660
134322565abc
14226cacc876
151285c5dc13
hexa7a59d6a8

45002380968 has 96 divisors (see below), whose sum is σ = 126435254400. Its totient is φ = 14449593600.

The previous prime is 45002380961. The next prime is 45002380981. The reversal of 45002380968 is 86908320054.

45002380968 is a `hidden beast` number, since 4 + 500 + 2 + 3 + 80 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (45002380961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136723 + ... + 329693.

It is an arithmetic number, because the mean of its divisors is an integer number (1317033900).

Almost surely, 245002380968 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 45002380968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63217627200).

45002380968 is an abundant number, since it is smaller than the sum of its proper divisors (81432873432).

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

45002380968 is a wasteful number, since it uses less digits than its factorization.

45002380968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193103 (or 193096 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45002380968 in words is "forty-five billion, two million, three hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 79 82 123 158 164 237 246 316 328 369 474 492 632 711 738 948 984 1422 1476 1896 2844 2952 3239 5688 6478 9717 12956 19434 25912 29151 38868 58302 77736 116604 192971 233208 385942 578913 771884 1157826 1543768 1736739 2315652 3473478 4631304 6946956 7911811 13893912 15244709 15823622 23735433 30489418 31647244 45734127 47470866 60978836 63294488 71206299 91468254 94941732 121957672 137202381 142412598 182936508 189883464 274404762 284825196 365873016 548809524 569650392 625033069 1097619048 1250066138 1875099207 2500132276 3750198414 5000264552 5625297621 7500396828 11250595242 15000793656 22501190484 45002380968