Search a number
-
+
32386663920 = 24351322945329
BaseRepresentation
bin11110001010011001…
…010100010111110000
310002121002012222210010
4132022121110113300
51012311441221140
622513410334520
72224400046462
oct361231242760
9102532188703
1032386663920
111280a477a56
12633a28a440
133091991880
1417d33d6132
15c98418880
hex78a6545f0

32386663920 has 160 divisors (see below), whose sum is σ = 108596174400. Its totient is φ = 7937114112.

The previous prime is 32386663879. The next prime is 32386663927. The reversal of 32386663920 is 2936668323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32386663920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32386663927) 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 31 ways as a sum of consecutive naturals, for example, 691816 + ... + 737144.

It is an arithmetic number, because the mean of its divisors is an integer number (678726090).

Almost surely, 232386663920 is an apocalyptic number.

32386663920 is a gapful number since it is divisible by the number (30) 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 32386663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54298087200).

32386663920 is an abundant number, since it is smaller than the sum of its proper divisors (76209510480).

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

32386663920 is a wasteful number, since it uses less digits than its factorization.

32386663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45587 (or 45581 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 32386663920 in words is "thirty-two billion, three hundred eighty-six million, six hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 229 240 260 312 390 458 520 624 687 780 916 1040 1145 1374 1560 1832 2290 2748 2977 3120 3435 3664 4580 5496 5954 6870 8931 9160 10992 11908 13740 14885 17862 18320 23816 27480 29770 35724 44655 45329 47632 54960 59540 71448 89310 90658 119080 135987 142896 178620 181316 226645 238160 271974 357240 362632 453290 543948 589277 679935 714480 725264 906580 1087896 1178554 1359870 1767831 1813160 2175792 2357108 2719740 2946385 3535662 3626320 4714216 5439480 5892770 7071324 8839155 9428432 10380341 10878960 11785540 14142648 17678310 20760682 23571080 28285296 31141023 35356620 41521364 47142160 51901705 62282046 70713240 83042728 103803410 124564092 134944433 141426480 155705115 166085456 207606820 249128184 269888866 311410230 404833299 415213640 498256368 539777732 622820460 674722165 809666598 830427280 1079555464 1245640920 1349444330 1619333196 2024166495 2159110928 2491281840 2698888660 3238666392 4048332990 5397777320 6477332784 8096665980 10795554640 16193331960 32386663920