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75673200213232 = 2429434107792333
BaseRepresentation
bin10001001101001100001010…
…001101111011110011110000
3100220221021202102201001211121
4101031030022031323303300
534404312203223310412
6424535442132552024
721640131305551456
oct2115141215736360
9326837672631747
1075673200213232
11221259077a6876
1285a1b81782614
13332bc4bb876bb
14149886110a9d6
158b36785d7107
hex44d30a37bcf0

75673200213232 has 80 divisors (see below), whose sum is σ = 155205306447840. Its totient is φ = 35681055814656.

The previous prime is 75673200213227. The next prime is 75673200213263. The reversal of 75673200213232 is 23231200237657.

It is a happy number.

It is a super-2 number, since 2×756732002132322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819522138 + ... + 819614470.

It is an arithmetic number, because the mean of its divisors is an integer number (1940066330598).

Almost surely, 275673200213232 is an apocalyptic number.

It is an amenable number.

75673200213232 is an abundant number, since it is smaller than the sum of its proper divisors (79532106234608).

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

75673200213232 is a wasteful number, since it uses less digits than its factorization.

75673200213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133490 (or 133484 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 43.

The spelling of 75673200213232 in words is "seventy-five trillion, six hundred seventy-three billion, two hundred million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1247 2494 4988 9976 19952 41077 82154 92333 164308 184666 328616 369332 657232 738664 1191233 1477328 1766311 2382466 2677657 3532622 3970319 4764932 5355314 7065244 7940638 9529864 10710628 14130488 15881276 19059728 21421256 28260976 31762552 42842512 51223019 63525104 102446038 115139251 204892076 230278502 409784152 460557004 819568304 921114008 1842228016 3792762641 7585525282 15171050564 30342101128 60684202256 109990116589 163088793563 219980233178 326177587126 439960466356 652355174252 879920932712 1304710348504 1759841865424 2609420697008 4729575013327 9459150026654 18918300053308 37836600106616 75673200213232