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4041212672 = 28721132851
BaseRepresentation
bin1111000011100000…
…0000001100000000
3101102122020212121102
43300320000030000
531234022301142
61505001113532
7202100512100
oct36070001400
911378225542
104041212672
111794182992
129494888a8
134c5321203
142a4a01200
15189bb6532
hexf0e00300

4041212672 has 108 divisors (see below), whose sum is σ = 9470003256. Its totient is φ = 1716019200.

The previous prime is 4041212671. The next prime is 4041212743. The reversal of 4041212672 is 2762121404.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4041212671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416047 + ... + 1418897.

Almost surely, 24041212672 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 4041212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735001628).

4041212672 is an abundant number, since it is smaller than the sum of its proper divisors (5428790584).

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

4041212672 is a wasteful number, since it uses less digits than its factorization.

4041212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 4041212672 is about 63570.5330479460. The cubic root of 4041212672 is about 1592.8341882077.

The spelling of 4041212672 in words is "four billion, forty-one million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 256 392 448 452 784 791 896 904 1568 1582 1792 1808 2851 3136 3164 3616 5537 5702 6272 6328 7232 11074 11404 12544 12656 14464 19957 22148 22808 25312 28928 39914 44296 45616 50624 79828 88592 91232 101248 139699 159656 177184 182464 202496 279398 319312 322163 354368 364928 558796 638624 644326 708736 729856 1117592 1277248 1288652 1417472 2235184 2255141 2554496 2577304 4470368 4510282 5108992 5154608 8940736 9020564 10309216 15785987 17881472 18041128 20618432 31571974 35762944 36082256 41236864 63143948 72164512 82473728 126287896 144329024 252575792 288658048 505151584 577316096 1010303168 2020606336 4041212672