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4545378464 = 2511103283443
BaseRepresentation
bin1000011101110110…
…01111100010100000
3102201202221011001112
410032323033202200
533302104102324
62031011122452
7220432036154
oct41673174240
912652834045
104545378464
111a22825130
12a6a2a3428
13575904473
1431195d064
151b90a3c0e
hex10eecf8a0

4545378464 has 96 divisors (see below), whose sum is σ = 9914171904. Its totient is φ = 2034190080.

The previous prime is 4545378407. The next prime is 4545378469. The reversal of 4545378464 is 4648735454.

It is not an unprimeable number, because it can be changed into a prime (4545378469) 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, 10260227 + ... + 10260669.

It is an arithmetic number, because the mean of its divisors is an integer number (103272624).

Almost surely, 24545378464 is an apocalyptic number.

4545378464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4545378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957085952).

4545378464 is an abundant number, since it is smaller than the sum of its proper divisors (5368793440).

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

4545378464 is a wasteful number, since it uses less digits than its factorization.

4545378464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 50.

The square root of 4545378464 is about 67419.4220087951. The cubic root of 4545378464 is about 1656.4945701655.

The spelling of 4545378464 in words is "four billion, five hundred forty-five million, three hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 283 352 412 443 566 824 886 1132 1133 1648 1772 2264 2266 3113 3296 3544 4528 4532 4873 6226 7088 9056 9064 9746 12452 14176 18128 19492 24904 29149 36256 38984 45629 49808 58298 77968 91258 99616 116596 125369 155936 182516 233192 250738 320639 365032 466384 501476 501919 641278 730064 932768 1002952 1003838 1282556 1379059 1460128 2005904 2007676 2565112 2758118 4011808 4015352 5130224 5516236 8030704 10260448 11032472 12913007 16061408 22064944 25826014 44129888 51652028 103304056 142043077 206608112 284086154 413216224 568172308 1136344616 2272689232 4545378464