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4193088680 = 2351164114867
BaseRepresentation
bin1111100111101101…
…0111010010101000
3101211020000222022202
43321323113102220
532041412314210
61532024235332
7205623444224
oct37173272250
911736028282
104193088680
111861986650
1299030bb48
1351a928c81
142bac57784
151981b69a5
hexf9ed74a8

4193088680 has 64 divisors (see below), whose sum is σ = 10308876480. Its totient is φ = 1522278400.

The previous prime is 4193088643. The next prime is 4193088707. The reversal of 4193088680 is 868803914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274607 + ... + 289473.

It is an arithmetic number, because the mean of its divisors is an integer number (161076195).

Almost surely, 24193088680 is an apocalyptic number.

4193088680 is a gapful number since it is divisible by the number (40) 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 4193088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154438240).

4193088680 is an abundant number, since it is smaller than the sum of its proper divisors (6115787800).

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

4193088680 is a wasteful number, since it uses less digits than its factorization.

4193088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15526 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 4193088680 is about 64754.0630385461. The cubic root of 4193088680 is about 1612.5431663624.

The spelling of 4193088680 in words is "four billion, one hundred ninety-three million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 641 1282 2564 3205 5128 6410 7051 12820 14102 14867 25640 28204 29734 35255 56408 59468 70510 74335 118936 141020 148670 163537 282040 297340 327074 594680 654148 817685 1308296 1635370 3270740 6541480 9529747 19059494 38118988 47648735 76237976 95297470 104827217 190594940 209654434 381189880 419308868 524136085 838617736 1048272170 2096544340 4193088680