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9444020806728 = 2332751897119469
BaseRepresentation
bin1000100101101101101110…
…0000010110010001001000
31020102211200001021212202100
42021123123200112101020
52214212323311303403
632030305005233400
71663210432232544
oct211333340262110
936384601255670
109444020806728
1130112065a4132
121086393562860
1353674b5a8661
14249143464a24
151159d9a922a3
hex896db816448

9444020806728 has 96 divisors (see below), whose sum is σ = 25615784937600. Its totient is φ = 3143303280000.

The previous prime is 9444020806721. The next prime is 9444020806757. The reversal of 9444020806728 is 8276080204449.

9444020806728 is a `hidden beast` number, since 94 + 4 + 402 + 0 + 80 + 6 + 72 + 8 = 666.

It is a super-2 number, since 2×94440208067282 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9444020806721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485070178 + ... + 485089646.

It is an arithmetic number, because the mean of its divisors is an integer number (266831093100).

Almost surely, 29444020806728 is an apocalyptic number.

It is an amenable number.

9444020806728 is an abundant number, since it is smaller than the sum of its proper divisors (16171764130872).

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

9444020806728 is a wasteful number, since it uses less digits than its factorization.

9444020806728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29203 (or 29196 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 9444020806728 in words is "nine trillion, four hundred forty-four billion, twenty million, eight hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 751 1502 2253 3004 4506 6008 6759 8971 9012 13518 17942 18024 19469 26913 27036 35884 38938 53826 54072 58407 71768 77876 80739 107652 116814 155752 161478 175221 215304 233628 322956 350442 467256 645912 700884 1401768 6737221 13474442 14621219 20211663 26948884 29242438 40423326 43863657 53897768 58484876 60634989 80846652 87727314 116969752 121269978 131590971 161693304 174656399 175454628 242539956 263181942 349312798 350909256 485079912 523969197 526363884 698625596 1047938394 1052727768 1397251192 1571907591 2095876788 3143815182 4191753576 6287630364 12575260728 131166955649 262333911298 393500866947 524667822596 787001733894 1049335645192 1180502600841 1574003467788 2361005201682 3148006935576 4722010403364 9444020806728