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45204314456 = 2372947958111
BaseRepresentation
bin101010000110011000…
…110001100101011000
311022200100220002210202
4222012120301211120
51220034301030311
632433325201332
73160130222150
oct520630614530
9138610802722
1045204314456
1118197725574
128916a00248
134355349182
14228b855760
15129884ae3b
hexa86631958

45204314456 has 64 divisors (see below), whose sum is σ = 100417536000. Its totient is φ = 18665861760.

The previous prime is 45204314443. The next prime is 45204314459. The reversal of 45204314456 is 65441340254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45204314459) 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, 748841 + ... + 806951.

It is an arithmetic number, because the mean of its divisors is an integer number (1569024000).

Almost surely, 245204314456 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 45204314456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50208768000).

45204314456 is an abundant number, since it is smaller than the sum of its proper divisors (55213221544).

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

45204314456 is a wasteful number, since it uses less digits than its factorization.

45204314456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58632 (or 58628 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 45204314456 in words is "forty-five billion, two hundred four million, three hundred fourteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 479 812 958 1624 1916 3353 3832 6706 13412 13891 26824 27782 55564 58111 97237 111128 116222 194474 232444 388948 406777 464888 777896 813554 1627108 1685219 3254216 3370438 6740876 11796533 13481752 23593066 27835169 47186132 55670338 94372264 111340676 194846183 222681352 389692366 779384732 807219901 1558769464 1614439802 3228879604 5650539307 6457759208 11301078614 22602157228 45204314456