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4374873984 = 273131018677
BaseRepresentation
bin1000001001100001…
…10100011110000000
3102021220002121212210
410010300310132000
532424431431414
62002040422120
7213261546435
oct40460643600
912256077783
104374873984
111945558638
12a21177940
135494a6640
142d7057b8c
151a9123e59
hex104c34780

4374873984 has 128 divisors (see below), whose sum is σ = 12640027680. Its totient is φ = 1332633600.

The previous prime is 4374873947. The next prime is 4374873989. The reversal of 4374873984 is 4893784734.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374873989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499854 + ... + 508530.

Almost surely, 24374873984 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 4374873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320013840).

4374873984 is an abundant number, since it is smaller than the sum of its proper divisors (8265153696).

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

4374873984 is a wasteful number, since it uses less digits than its factorization.

4374873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8796 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 4374873984 is about 66142.8301783345. The cubic root of 4374873984 is about 1635.5174518314.

The spelling of 4374873984 in words is "four billion, three hundred seventy-four million, eight hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 303 312 384 404 416 606 624 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3939 4848 4992 5252 6464 7878 8677 9696 10504 12928 15756 17354 19392 21008 26031 31512 34708 38784 42016 52062 63024 69416 84032 104124 112801 126048 138832 168064 208248 225602 252096 277664 338403 416496 451204 504192 555328 676806 832992 876377 902408 1110656 1353612 1665984 1752754 1804816 2629131 2707224 3331968 3505508 3609632 5258262 5414448 7011016 7219264 10516524 10828896 11392901 14022032 14438528 21033048 21657792 22785802 28044064 34178703 42066096 43315584 45571604 56088128 68357406 84132192 91143208 112176256 136714812 168264384 182286416 273429624 336528768 364572832 546859248 729145664 1093718496 1458291328 2187436992 4374873984