Search a number
-
+
32645893152 = 2531727116573
BaseRepresentation
bin11110011001110110…
…001100110000100000
310010021011000012102210
4132121312030300200
51013324322040102
622555230442120
72233665341025
oct363166146040
9103234005383
1032645893152
1112932834794
1263b1063340
1331035b6052
1418199d554c
15cb107236c
hex799d8cc20

32645893152 has 144 divisors (see below), whose sum is σ = 92320627392. Its totient is φ = 10096988160.

The previous prime is 32645893151. The next prime is 32645893183. The reversal of 32645893152 is 25139854623.

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

It is not an unprimeable number, because it can be changed into a prime (32645893151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961538 + ... + 1978110.

It is an arithmetic number, because the mean of its divisors is an integer number (641115468).

Almost surely, 232645893152 is an apocalyptic number.

32645893152 is a gapful number since it is divisible by the number (32) 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 32645893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46160313696).

32645893152 is an abundant number, since it is smaller than the sum of its proper divisors (59674734240).

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

32645893152 is a wasteful number, since it uses less digits than its factorization.

32645893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16691 (or 16666 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 32645893152 in words is "thirty-two billion, six hundred forty-five million, eight hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 71 96 102 136 142 204 213 272 284 289 408 426 544 568 578 816 852 867 1136 1156 1207 1632 1704 1734 2272 2312 2414 3408 3468 3621 4624 4828 6816 6936 7242 9248 9656 13872 14484 16573 19312 20519 27744 28968 33146 38624 41038 49719 57936 61557 66292 82076 99438 115872 123114 132584 164152 198876 246228 265168 281741 328304 397752 492456 530336 563482 656608 795504 845223 984912 1126964 1176683 1591008 1690446 1969824 2253928 2353366 3380892 3530049 4507856 4706732 4789597 6761784 7060098 9015712 9413464 9579194 13523568 14120196 14368791 18826928 19158388 20003611 27047136 28240392 28737582 37653856 38316776 40007222 56480784 57475164 60010833 76633552 80014444 112961568 114950328 120021666 153267104 160028888 229900656 240043332 320057776 340061387 459801312 480086664 640115552 680122774 960173328 1020184161 1360245548 1920346656 2040368322 2720491096 4080736644 5440982192 8161473288 10881964384 16322946576 32645893152