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4712003472 = 2431131479601
BaseRepresentation
bin1000110001101101…
…10111011110010000
3110011101110120121010
410120312313132100
534122233102342
62055322330520
7224524240311
oct43066673620
913141416533
104712003472
111aa8891a50
12ab6059a40
135a12a4547
14329b34608
151c8a1929c
hex118db7790

4712003472 has 160 divisors (see below), whose sum is σ = 13759119360. Its totient is φ = 1376640000.

The previous prime is 4712003449. The next prime is 4712003473. The reversal of 4712003472 is 2743002174.

It is not an unprimeable number, because it can be changed into a prime (4712003473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839972 + ... + 7840572.

It is an arithmetic number, because the mean of its divisors is an integer number (85994496).

Almost surely, 24712003472 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 4712003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879559680).

4712003472 is an abundant number, since it is smaller than the sum of its proper divisors (9047115888).

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

4712003472 is a wasteful number, since it uses less digits than its factorization.

4712003472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 4712003472 is about 68644.0344968155. The cubic root of 4712003472 is about 1676.4934741910.

The spelling of 4712003472 in words is "four billion, seven hundred twelve million, three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 479 496 528 601 682 744 958 1023 1202 1364 1437 1488 1803 1916 2046 2404 2728 2874 3606 3832 4092 4808 5269 5456 5748 6611 7212 7664 8184 9616 10538 11496 13222 14424 14849 15807 16368 18631 19833 21076 22992 26444 28848 29698 31614 37262 39666 42152 44547 52888 55893 59396 63228 74524 79332 84304 89094 105776 111786 118792 126456 149048 158664 163339 178188 204941 223572 237584 252912 287879 298096 317328 326678 356376 409882 447144 490017 575758 614823 653356 712752 819764 863637 894288 980034 1151516 1229646 1306712 1639528 1727274 1960068 2303032 2459292 2613424 3166669 3279056 3454548 3920136 4606064 4918584 6333338 6909096 7840272 8924249 9500007 9837168 12666676 13818192 17848498 19000014 25333352 26772747 35696996 38000028 50666704 53545494 71393992 76000056 98166739 107090988 142787984 152000112 196333478 214181976 294500217 392666956 428363952 589000434 785333912 1178000868 1570667824 2356001736 4712003472