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45520201472 = 282112233779
BaseRepresentation
bin101010011001001101…
…110010011100000000
311100111101021211022212
4222121031302130000
51221211132421342
632524531521252
73201014220434
oct523115623400
9140441254285
1045520201472
1118339a70119
1289a4759228
1343a591a275
1422bb7a29c4
1512b6447182
hexa99372700

45520201472 has 72 divisors (see below), whose sum is σ = 91726871040. Its totient is φ = 22544686080.

The previous prime is 45520201457. The next prime is 45520201477. The reversal of 45520201472 is 27410202554.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45520201477) 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, 12043679 + ... + 12047457.

It is an arithmetic number, because the mean of its divisors is an integer number (1273984320).

Almost surely, 245520201472 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 45520201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45863435520).

45520201472 is an abundant number, since it is smaller than the sum of its proper divisors (46206669568).

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

45520201472 is a wasteful number, since it uses less digits than its factorization.

45520201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 45520201472 in words is "forty-five billion, five hundred twenty million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 211 223 256 422 446 844 892 1688 1784 3376 3568 3779 6752 7136 7558 13504 14272 15116 27008 28544 30232 47053 54016 57088 60464 94106 120928 188212 241856 376424 483712 752848 797369 842717 967424 1505696 1594738 1685434 3011392 3189476 3370868 6022784 6378952 6741736 12045568 12757904 13483472 25515808 26966944 51031616 53933888 102063232 107867776 177813287 204126464 215735552 355626574 711253148 1422506296 2845012592 5690025184 11380050368 22760100736 45520201472