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232956036540 = 2232510712095329
BaseRepresentation
bin1101100011110101000…
…0110000010110111100
3211021022002212210200100
43120331100300112330
512304043221132130
6255004000201100
722554603432123
oct3307520602674
9737262783610
10232956036540
118a883678237
1239194609190
1318c76c44c06
14b3bcd6aaba
1560d685ac60
hex363d4305bc

232956036540 has 72 divisors (see below), whose sum is σ = 713237419440. Its totient is φ = 61541028864.

The previous prime is 232956036517. The next prime is 232956036553. The reversal of 232956036540 is 45630659232.

232956036540 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 560 + 36 + 54 + 0 = 666.

232956036540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 6028405 + ... + 6066924.

It is an arithmetic number, because the mean of its divisors is an integer number (9906075270).

Almost surely, 2232956036540 is an apocalyptic number.

232956036540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232956036540 is an abundant number, since it is smaller than the sum of its proper divisors (480281382900).

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

232956036540 is a wasteful number, since it uses less digits than its factorization.

232956036540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095451 (or 12095446 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 232956036540 in words is "two hundred thirty-two billion, nine hundred fifty-six million, thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 12095329 24190658 36285987 48381316 60476645 72571974 108857961 120953290 145143948 181429935 217715922 241906580 362859870 435431844 544289805 725719740 1088579610 1294200203 2177159220 2588400406 3882600609 5176800812 6471001015 7765201218 11647801827 12942002030 15530402436 19413003045 23295603654 25884004060 38826006090 46591207308 58239009135 77652012180 116478018270 232956036540