Search a number
-
+
96452004960 = 2533522326853
BaseRepresentation
bin101100111010011111…
…1001100110001100000
3100012221220110112001000
41121310333030301200
53040013203124320
6112150501112000
76653112341433
oct1316477146140
9305856415030
1096452004960
11379a57079a3
12168396b8600
13913173a4ac
14494db6b81a
1527979ebc90
hex1674fccc60

96452004960 has 96 divisors (see below), whose sum is σ = 337582032480. Its totient is φ = 25720533504.

The previous prime is 96452004937. The next prime is 96452004989. The reversal of 96452004960 is 6940025469.

96452004960 is a `hidden beast` number, since 9 + 64 + 520 + 0 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 11159107 + ... + 11167746.

It is an arithmetic number, because the mean of its divisors is an integer number (3516479505).

Almost surely, 296452004960 is an apocalyptic number.

96452004960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96452004960 is an abundant number, since it is smaller than the sum of its proper divisors (241130027520).

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

96452004960 is a wasteful number, since it uses less digits than its factorization.

96452004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22326877 (or 22326863 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 96452004960 in words is "ninety-six billion, four hundred fifty-two million, four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 22326853 44653706 66980559 89307412 111634265 133961118 178614824 200941677 223268530 267922236 334902795 357229648 401883354 446537060 535844472 602825031 669805590 714459296 803766708 893074120 1004708385 1071688944 1205650062 1339611180 1607533416 1786148240 2009416770 2143377888 2411300124 2679222360 3014125155 3215066832 3572296480 4018833540 4822600248 5358444720 6028250310 6430133664 8037667080 9645200496 10716889440 12056500620 16075334160 19290400992 24113001240 32150668320 48226002480 96452004960