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4072751046 = 2327133180207
BaseRepresentation
bin1111001011000001…
…0011111111000110
3101111211121012010100
43302300103333012
531320111013141
61512045104530
7202632545520
oct36260237706
911454535110
104072751046
1117aaa64161
12957b58146
134cba14480
142a8c90a10
1518c8460b6
hexf2c13fc6

4072751046 has 96 divisors (see below), whose sum is σ = 11211153408. Its totient is φ = 1039469760.

The previous prime is 4072750999. The next prime is 4072751051. The reversal of 4072751046 is 6401572704.

It is a self number, because there is not a number n which added to its sum of digits gives 4072751046.

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, 10675 + ... + 90881.

It is an arithmetic number, because the mean of its divisors is an integer number (116782848).

Almost surely, 24072751046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072751046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605576704).

4072751046 is an abundant number, since it is smaller than the sum of its proper divisors (7138402362).

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

4072751046 is a wasteful number, since it uses less digits than its factorization.

4072751046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80266 (or 80263 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4072751046 is about 63818.1090757161. The cubic root of 4072751046 is about 1596.9670468276.

It can be divided in two parts, 407275 and 1046, that added together give a square (408321 = 6392).

The spelling of 4072751046 in words is "four billion, seventy-two million, seven hundred fifty-one thousand, forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 50778 80207 160414 240621 481242 561449 721863 1042691 1122898 1443726 1684347 2085382 2486417 3128073 3368694 4972834 5053041 6256146 7298837 7459251 9384219 10106082 14597674 14918502 17404919 18768438 21896511 22377753 32323421 34809838 43793022 44755506 52214757 64646842 65689533 96970263 104429514 131379066 156644271 193940526 226263947 290910789 313288542 452527894 581821578 678791841 1357583682 2036375523 4072751046