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232133470464 = 2837173249593
BaseRepresentation
bin1101100000110000111…
…0111010100100000000
3211012011210002010011010
43120030032322210000
512300402132023324
6254350213520520
722525324641240
oct3301416724400
9735153063133
10232133470464
118a4a1324165
1238ba5043140
1318b756c091c
14b341a09b20
156089527829
hex360c3ba900

232133470464 has 144 divisors (see below), whose sum is σ = 710156829312. Its totient is φ = 65940209664.

The previous prime is 232133470447. The next prime is 232133470507. The reversal of 232133470464 is 464074331232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805252 + ... + 1054844.

It is an arithmetic number, because the mean of its divisors is an integer number (4931644648).

Almost surely, 2232133470464 is an apocalyptic number.

232133470464 is a gapful number since it is divisible by the number (24) 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 232133470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355078414656).

232133470464 is an abundant number, since it is smaller than the sum of its proper divisors (478023358848).

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

232133470464 is a wasteful number, since it uses less digits than its factorization.

232133470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249792 (or 249778 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The spelling of 232133470464 in words is "two hundred thirty-two billion, one hundred thirty-three million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 173 192 224 256 336 346 384 448 519 672 692 768 896 1038 1211 1344 1384 1792 2076 2422 2688 2768 3633 4152 4844 5376 5536 7266 8304 9688 11072 14532 16608 19376 22144 29064 33216 38752 44288 58128 66432 77504 116256 132864 155008 232512 249593 310016 465024 499186 748779 930048 998372 1497558 1747151 1996744 2995116 3494302 3993488 5241453 5990232 6988604 7986976 10482906 11980464 13977208 15973952 20965812 23960928 27954416 31947904 41931624 43179589 47921856 55908832 63895808 83863248 86359178 95843712 111817664 129538767 167726496 172718356 191687424 223635328 259077534 302257123 335452992 345436712 447270656 518155068 604514246 670905984 690873424 906771369 1036310136 1209028492 1341811968 1381746848 1813542738 2072620272 2418056984 2763493696 3627085476 4145240544 4836113968 5526987392 7254170952 8290481088 9672227936 11053974784 14508341904 16580962176 19344455872 29016683808 33161924352 38688911744 58033367616 77377823488 116066735232 232133470464