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4332105133312 = 28115329026219
BaseRepresentation
bin111111000010100101100…
…101100110110100000000
3120100010220212002111001211
4333002211211212310000
51031434122403231222
613114050331335504
7624661414031305
oct77024545466400
916303825074054
104332105133312
1114202654567a0
1259b7112b1594
13255692186938
1410d9643110ac
1577a4bec1277
hex3f0a5966d00

4332105133312 has 72 divisors (see below), whose sum is σ = 9611394176160. Its totient is φ = 1931985070080.

The previous prime is 4332105133283. The next prime is 4332105133313. The reversal of 4332105133312 is 2133315012334.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332105133313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14363862 + ... + 14662357.

It is an arithmetic number, because the mean of its divisors is an integer number (133491585780).

Almost surely, 24332105133312 is an apocalyptic number.

It is an amenable number.

4332105133312 is an abundant number, since it is smaller than the sum of its proper divisors (5279289042848).

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

4332105133312 is a wasteful number, since it uses less digits than its factorization.

4332105133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026299 (or 29026285 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The spelling of 4332105133312 in words is "four trillion, three hundred thirty-two billion, one hundred five million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 1166 1408 1696 2332 2816 3392 4664 6784 9328 13568 18656 37312 74624 149248 29026219 58052438 116104876 232209752 319288409 464419504 638576818 928839008 1277153636 1538389607 1857678016 2554307272 3076779214 3715356032 5108614544 6153558428 7430712064 10217229088 12307116856 16922285677 20434458176 24614233712 33844571354 40868916352 49228467424 67689142708 81737832704 98456934848 135378285416 196913869696 270756570832 393827739392 541513141664 1083026283328 2166052566656 4332105133312