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4745715642 = 238418821
BaseRepresentation
bin1000110101101110…
…11101111110111010
3110020201220100000000
410122313131332322
534204400400032
62102525053430
7225413626443
oct43267357672
913221810000
104745715642
112015918448
12b053b7276
135a8279085
143303cc2ca
151cb977e7c
hex11adddfba

4745715642 has 72 divisors (see below), whose sum is σ = 10938980052. Its totient is φ = 1543147200.

The previous prime is 4745715613. The next prime is 4745715679. The reversal of 4745715642 is 2465175474.

4745715642 is a `hidden beast` number, since 4 + 7 + 457 + 156 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4530770721 + 214944921 = 67311^2 + 14661^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 533592 + ... + 542412.

Almost surely, 24745715642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745715642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469490026).

4745715642 is an abundant number, since it is smaller than the sum of its proper divisors (6193264410).

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

4745715642 is an frugal number, since it uses more digits than its factorization.

4745715642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8867 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 4745715642 is about 68889.1547487701. The cubic root of 4745715642 is about 1680.4821511527.

The spelling of 4745715642 in words is "four billion, seven hundred forty-five million, seven hundred fifteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2187 2214 3321 4374 6561 6642 8821 9963 13122 17642 19926 26463 29889 52926 59778 79389 89667 158778 179334 238167 269001 361661 476334 538002 714501 723322 1084983 1429002 2143503 2169966 3254949 4287006 6430509 6509898 9764847 12861018 19291527 19529694 29294541 38583054 57874581 58589082 87883623 115749162 175767246 263650869 527301738 790952607 1581905214 2372857821 4745715642