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3046307424256 = 21117372364793
BaseRepresentation
bin101100010101000110000…
…100100110100000000000
3101210020001101212011102101
4230111012010212200000
5344402314200034011
610251242044200144
7433042223603635
oct54250604464000
911706041764371
103046307424256
11a74a2813aa38
1241248a239054
1319135b578365
14a762905a18c
1554394d3c2c1
hex2c546126800

3046307424256 has 96 divisors (see below), whose sum is σ = 6623740698120. Its totient is φ = 1394811076608.

The previous prime is 3046307424233. The next prime is 3046307424283. The reversal of 3046307424256 is 6524247036403.

It can be written as a sum of positive squares in 4 ways, for example, as 2913111622656 + 133195801600 = 1706784^2 + 364960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105796 + ... + 2470588.

Almost surely, 23046307424256 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 3046307424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311870349060).

3046307424256 is an abundant number, since it is smaller than the sum of its proper divisors (3577433273864).

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

3046307424256 is a wasteful number, since it uses less digits than its factorization.

3046307424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364869 (or 2364849 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 46.

The spelling of 3046307424256 in words is "three trillion, forty-six billion, three hundred seven million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 512 544 592 629 1024 1088 1184 1258 2048 2176 2368 2516 4352 4736 5032 8704 9472 10064 17408 18944 20128 34816 37888 40256 75776 80512 161024 322048 644096 1288192 2364793 4729586 9459172 18918344 37836688 40201481 75673376 80402962 87497341 151346752 160805924 174994682 302693504 321611848 349989364 605387008 643223696 699978728 1210774016 1286447392 1399957456 1487454797 2421548032 2572894784 2799914912 2974909594 4843096064 5145789568 5599829824 5949819188 10291579136 11199659648 11899638376 20583158272 22399319296 23799276752 41166316544 44798638592 47598553504 82332633088 89597277184 95197107008 179194554368 190394214016 380788428032 761576856064 1523153712128 3046307424256