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4701664849332 = 22311266111294339
BaseRepresentation
bin100010001101011000100…
…0100000010110110110100
3121122110211002220012121110
41010122301010002312310
51104013002200134312
613555525350515020
7663453431551563
oct104326104026664
917573732805543
104701664849332
111552a68265200
1263b26a065a70
13281499155709
141237c17b9bda
158247b2c143c
hex446b1102db4

4701664849332 has 144 divisors (see below), whose sum is σ = 12090265409600. Its totient is φ = 1421003865600.

The previous prime is 4701664849223. The next prime is 4701664849361. The reversal of 4701664849332 is 2339484661074.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083580419 + ... + 1083584757.

Almost surely, 24701664849332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4701664849332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045132704800).

4701664849332 is an abundant number, since it is smaller than the sum of its proper divisors (7388600560268).

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

4701664849332 is a wasteful number, since it uses less digits than its factorization.

4701664849332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 4701664849332 in words is "four trillion, seven hundred one billion, six hundred sixty-four million, eight hundred forty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 661 726 1129 1322 1452 1983 2258 2644 3387 3966 4339 4516 6774 7271 7932 8678 12419 13017 13548 14542 17356 21813 24838 26034 29084 37257 43626 47729 49676 52068 74514 79981 87252 95458 136609 143187 149028 159962 190916 239943 273218 286374 319924 409827 479886 525019 546436 572748 746269 819654 959772 1050038 1492538 1575057 1639308 2100076 2238807 2868079 2985076 3150114 4477614 4898731 5736158 6300228 8208959 8604237 8955228 9797462 11472316 14696193 16417918 17208474 19594924 24626877 29392386 31548869 32835836 34416948 49253754 53886041 58784772 63097738 90298549 94646607 98507508 107772082 126195476 161658123 180597098 189293214 215544164 270895647 323316246 347037559 361194196 378586428 541791294 592746451 646632492 694075118 1041112677 1083582588 1185492902 1388150236 1778239353 2082225354 2370985804 3238061191 3556478706 4164450708 6476122382 7112957412 9714183573 12952244764 19428367146 35618673101 38856734292 71237346202 106856019303 142474692404 213712038606 391805404111 427424077212 783610808222 1175416212333 1567221616444 2350832424666 4701664849332