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4516060672 = 29231013797
BaseRepresentation
bin1000011010010110…
…11001111000000000
3102122201202122121101
410031023121320000
533222102420142
62024042504144
7216624611434
oct41513317000
912581678541
104516060672
111a08220252
12a60505054
1356c80ab66
1430baca9c4
151b67120b7
hex10d2d9e00

4516060672 has 80 divisors (see below), whose sum is σ = 9511346592. Its totient is φ = 2137907200.

The previous prime is 4516060667. The next prime is 4516060711. The reversal of 4516060672 is 2760606154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187478 + ... + 1191274.

Almost surely, 24516060672 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 4516060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755673296).

4516060672 is an abundant number, since it is smaller than the sum of its proper divisors (4995285920).

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

4516060672 is a wasteful number, since it uses less digits than its factorization.

4516060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 4516060672 is about 67201.6418847040. The cubic root of 4516060672 is about 1652.9254098258.

The spelling of 4516060672 in words is "four billion, five hundred sixteen million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 128 184 202 256 368 404 512 736 808 1472 1616 2323 2944 3232 3797 4646 5888 6464 7594 9292 11776 12928 15188 18584 25856 30376 37168 51712 60752 74336 87331 121504 148672 174662 243008 297344 349324 383497 486016 594688 698648 766994 972032 1189376 1397296 1533988 1944064 2794592 3067976 5589184 6135952 8820431 11178368 12271904 17640862 22356736 24543808 35281724 44713472 49087616 70563448 98175232 141126896 196350464 282253792 564507584 1129015168 2258030336 4516060672