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4197999399 = 3112343293439
BaseRepresentation
bin1111101000111000…
…0110001100100111
3101211120021110120020
43322032012030213
532044141440044
61532321410223
7206013256206
oct37216061447
911746243506
104197999399
1118647300a0
12991a99973
1351b958219
142bb77523d
15198836a19
hexfa386327

4197999399 has 64 divisors (see below), whose sum is σ = 6556999680. Its totient is φ = 2363518080.

The previous prime is 4197999383. The next prime is 4197999413. The reversal of 4197999399 is 9939997914.

Together with 2359000280 it forms a betrothed pair.

It is not a de Polignac number, because 4197999399 - 24 = 4197999383 is a prime.

It is a super-2 number, since 2×41979993992 = 35246397908008722402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197999319) 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 63 ways as a sum of consecutive naturals, for example, 9562422 + ... + 9562860.

It is an arithmetic number, because the mean of its divisors is an integer number (102453120).

Almost surely, 24197999399 is an apocalyptic number.

4197999399 is a deficient number, since it is larger than the sum of its proper divisors (2359000281).

4197999399 is a wasteful number, since it uses less digits than its factorization.

4197999399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812.

The product of its digits is 44641044, while the sum is 69.

The square root of 4197999399 is about 64791.9701737800. The cubic root of 4197999399 is about 1613.1724285955.

The spelling of 4197999399 in words is "four billion, one hundred ninety-seven million, nine hundred ninety-nine thousand, three hundred ninety-nine".

Divisors: 1 3 11 23 33 43 69 129 253 293 439 473 759 879 989 1317 1419 2967 3223 4829 6739 9669 10097 10879 12599 14487 18877 20217 30291 32637 37797 56631 74129 111067 128627 138589 207647 222387 289777 333201 385881 415767 434171 622941 869331 1302513 1414897 2958421 3187547 4244691 4775881 5530961 8875263 9562641 14327643 16592883 32542631 60840571 97627893 127212103 182521713 381636309 1399333133 4197999399