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4744006956 = 223213231373217
BaseRepresentation
bin1000110101100001…
…11100110100101100
3110020121200112010100
410122300330310230
534203431210311
62102424311100
7225363252033
oct43260746454
913217615110
104744006956
112014960707
12b04912490
135a7acb410
143300a571a
151cb73ba56
hex11ac3cd2c

4744006956 has 144 divisors (see below), whose sum is σ = 13578312384. Its totient is φ = 1385607168.

The previous prime is 4744006937. The next prime is 4744006987. The reversal of 4744006956 is 6596004474.

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, 1473060 + ... + 1476276.

It is an arithmetic number, because the mean of its divisors is an integer number (94293836).

Almost surely, 24744006956 is an apocalyptic number.

4744006956 is a gapful number since it is divisible by the number (46) 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 4744006956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789156192).

4744006956 is an abundant number, since it is smaller than the sum of its proper divisors (8834305428).

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

4744006956 is a wasteful number, since it uses less digits than its factorization.

4744006956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4744006956 is about 68876.7519269020. The cubic root of 4744006956 is about 1680.2804421288.

The spelling of 4744006956 in words is "four billion, seven hundred forty-four million, six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 137 138 156 207 234 274 276 299 411 414 468 548 598 822 828 897 1196 1233 1644 1781 1794 2466 2691 3151 3217 3562 3588 4932 5343 5382 6302 6434 7124 9453 9651 10686 10764 12604 12868 16029 18906 19302 21372 28359 28953 32058 37812 38604 40963 41821 56718 57906 64116 73991 81926 83642 113436 115812 122889 125463 147982 163852 167284 221973 245778 250926 295964 368667 376389 440729 443946 491556 501852 665919 737334 752778 881458 887892 961883 1322187 1331838 1474668 1505556 1762916 1923766 2644374 2663676 2885649 3847532 3966561 5288748 5729477 5771298 7933122 8656947 10136767 11458954 11542596 15866244 17188431 17313894 20273534 22917908 30410301 34376862 34627788 40547068 51565293 60820602 68753724 91230903 103130586 121641204 131777971 182461806 206261172 263555942 364923612 395333913 527111884 790667826 1186001739 1581335652 2372003478 4744006956