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427658484856724 = 221137110111201581
BaseRepresentation
bin110000100111101000000000…
…0000100110011011110010100
32002002012202022010010012120122
41201033100000010303132110
5422023224034110403344
64113315332402251112
7156036206633112032
oct14117200004633624
92062182263105518
10427658484856724
111142a0a43739000
123bb6b0b5356a98
131548203967c8b4
147786ad150d552
1534695a2c47aee
hex184f400133794

427658484856724 has 96 divisors (see below), whose sum is σ = 843045757795584. Its totient is φ = 189754765200000.

The previous prime is 427658484856711. The next prime is 427658484856747.

427658484856724 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32577614 + ... + 43779194.

It is an arithmetic number, because the mean of its divisors is an integer number (8781726643704).

Almost surely, 2427658484856724 is an apocalyptic number.

427658484856724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427658484856724 is a deficient number, since it is larger than the sum of its proper divisors (415387272938860).

427658484856724 is a wasteful number, since it uses less digits than its factorization.

427658484856724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201790 (or 11201766 counting only the distinct ones).

The product of its digits is 23121100800, while the sum is 80.

The spelling of 427658484856724 in words is "four hundred twenty-seven trillion, six hundred fifty-eight billion, four hundred eighty-four million, eight hundred fifty-six thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 44 71 101 121 142 202 242 284 404 484 781 1111 1331 1562 2222 2662 3124 4444 5324 7171 8591 12221 14342 17182 24442 28684 34364 48884 78881 94501 134431 157762 189002 268862 315524 378004 537724 867691 1735382 3470764 9544601 11201581 19089202 22403162 38178404 44806324 123217391 246434782 492869564 795312251 1131359681 1355391301 1590624502 2262719362 2710782602 3181249004 4525438724 5421565204 8748434761 12444956491 14909304311 17496869522 24889912982 29818608622 34993739044 49779825964 59637217244 80326537351 96232782371 136894521401 160653074702 192465564742 273789042802 321306149404 384931129484 547578085604 883591910861 1058560606081 1505839735411 1767183821722 2117121212162 3011679470822 3534367643444 4234242424324 6023358941644 9719511019471 19439022038942 38878044077884 106914621214181 213829242428362 427658484856724