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4645644444 = 22327291574049
BaseRepresentation
bin1000101001110011…
…01110100010011100
3102222202121012010100
410110321232202130
534003241110234
62044552141100
7223060216620
oct42471564234
912882535110
104645644444
111a74388481
12a97997790
1359060c04c
14320dbd180
151c2cac399
hex114e6e89c

4645644444 has 144 divisors (see below), whose sum is σ = 13975416000. Its totient is φ = 1273079808.

The previous prime is 4645644433. The next prime is 4645644467. The reversal of 4645644444 is 4444465464.

4645644444 is a `hidden beast` number, since 4 + 6 + 4 + 564 + 44 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4645644444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145332 + ... + 1149380.

It is an arithmetic number, because the mean of its divisors is an integer number (97051500).

Almost surely, 24645644444 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 4645644444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987708000).

4645644444 is an abundant number, since it is smaller than the sum of its proper divisors (9329771556).

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

4645644444 is a wasteful number, since it uses less digits than its factorization.

4645644444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4247 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

The square root of 4645644444 is about 68158.9645167824. The cubic root of 4645644444 is about 1668.5862327021.

The spelling of 4645644444 in words is "four billion, six hundred forty-five million, six hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 157 174 203 252 261 314 348 406 471 522 609 628 812 942 1044 1099 1218 1413 1827 1884 2198 2436 2826 3297 3654 4049 4396 4553 5652 6594 7308 8098 9106 9891 12147 13188 13659 16196 18212 19782 24294 27318 28343 31871 36441 39564 40977 48588 54636 56686 63742 72882 81954 85029 95613 113372 117421 127484 145764 163908 170058 191226 234842 255087 286839 340116 352263 382452 469684 510174 573678 635693 704526 821947 1020348 1056789 1147356 1271386 1409052 1643894 1907079 2113578 2465841 2542772 3287788 3814158 4227156 4449851 4931682 5721237 7397523 7628316 8899702 9863364 11442474 13349553 14795046 17799404 18435097 22884948 26699106 29590092 36870194 40048659 53398212 55305291 73740388 80097318 110610582 129045679 160194636 165915873 221221164 258091358 331831746 387137037 516182716 663663492 774274074 1161411111 1548548148 2322822222 4645644444