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53815809792 = 283715631753
BaseRepresentation
bin110010000111101011…
…000001011100000000
312010220111221101121110
4302013223001130000
51340203321403132
640420031323320
73613414556433
oct620753013400
9163814841543
1053815809792
1120906692468
12a51a980540
1350c8481244
14286741981a
1515ee8851cc
hexc87ac1700

53815809792 has 144 divisors (see below), whose sum is σ = 145586827008. Its totient is φ = 17644462080.

The previous prime is 53815809787. The next prime is 53815809793. The reversal of 53815809792 is 29790851835.

It is a super-2 number, since 2×538158097922 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53815809793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30698388 + ... + 30700140.

It is an arithmetic number, because the mean of its divisors is an integer number (1011019632).

Almost surely, 253815809792 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 53815809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72793413504).

53815809792 is an abundant number, since it is smaller than the sum of its proper divisors (91771017216).

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

53815809792 is a wasteful number, since it uses less digits than its factorization.

53815809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 53815809792 in words is "fifty-three billion, eight hundred fifteen million, eight hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 563 568 768 852 1126 1136 1689 1704 1753 2252 2272 3378 3408 3506 4504 4544 5259 6756 6816 7012 9008 9088 10518 13512 13632 14024 18016 18176 21036 27024 27264 28048 36032 39973 42072 54048 54528 56096 72064 79946 84144 108096 112192 119919 124463 144128 159892 168288 216192 224384 239838 248926 319784 336576 373389 432384 448768 479676 497852 639568 673152 746778 959352 986939 995704 1279136 1346304 1493556 1918704 1973878 1991408 2558272 2960817 2987112 3837408 3947756 3982816 5116544 5921634 5974224 7674816 7895512 7965632 10233088 11843268 11948448 15349632 15791024 15931264 23686536 23896896 30699264 31582048 31862528 47373072 47793792 63164096 70072669 94746144 95587584 126328192 140145338 189492288 210218007 252656384 280290676 378984576 420436014 560581352 757969152 840872028 1121162704 1681744056 2242325408 3363488112 4484650816 6726976224 8969301632 13453952448 17938603264 26907904896 53815809792