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534676838656 = 2823219872
BaseRepresentation
bin1111100011111010011…
…10010001100100000000
31220010002112210122011011
413301331032101210000
532230004232314111
61045343244130304
753425535066332
oct7617516214400
91803075718134
10534676838656
11196834155644
128775a236994
133b55c42460c
141bc4284b452
15dd9512c021
hex7c7d391900

534676838656 has 81 divisors (see below), whose sum is σ = 1116247215531. Its totient is φ = 255586315776.

The previous prime is 534676838621. The next prime is 534676838659. The reversal of 534676838656 is 656838676435.

The square root of 534676838656 is 731216.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 534676838591 and 534676838600.

It is not an unprimeable number, because it can be changed into a prime (534676838659) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269086495 + ... + 269088481.

Almost surely, 2534676838656 is an apocalyptic number.

534676838656 is the 731216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534676838656

534676838656 is an abundant number, since it is smaller than the sum of its proper divisors (581570376875).

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

534676838656 is an frugal number, since it uses more digits than its factorization.

534676838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 2012 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 67.

The spelling of 534676838656 in words is "five hundred thirty-four billion, six hundred seventy-six million, eight hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 1987 2116 2944 3974 4232 5888 7948 8464 15896 16928 31792 33856 45701 63584 67712 91402 127168 135424 182804 254336 365608 508672 731216 1051123 1462432 2102246 2924864 3948169 4204492 5849728 7896338 8408984 11699456 15792676 16817968 31585352 33635936 63170704 67271872 90807887 126341408 134543744 181615774 252682816 269087488 363231548 505365632 726463096 1010731264 1452926192 2088581401 2905852384 4177162802 5811704768 8354325604 11623409536 16708651208 23246819072 33417302416 66834604832 133669209664 267338419328 534676838656