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53826985332 = 223219893792333
BaseRepresentation
bin110010001000010101…
…101001110101110100
312010221021222011120100
4302020111221311310
51340214202012312
640421111034100
73613611553251
oct621025516564
9163837864510
1053826985332
1120911a2584a
12a52266b930
1350ca894ba3
142868ac8428
1516008415dc
hexc88569d74

53826985332 has 144 divisors (see below), whose sum is σ = 145277496000. Its totient is φ = 16755475968.

The previous prime is 53826985327. The next prime is 53826985337. The reversal of 53826985332 is 23358962835.

53826985332 is a `hidden beast` number, since 538 + 26 + 9 + 8 + 53 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (53826985327) and next prime (53826985337).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53826985337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23070838 + ... + 23073170.

It is an arithmetic number, because the mean of its divisors is an integer number (1008871500).

Almost surely, 253826985332 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 53826985332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72638748000).

53826985332 is an abundant number, since it is smaller than the sum of its proper divisors (91450510668).

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

53826985332 is a wasteful number, since it uses less digits than its factorization.

53826985332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2825 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 53826985332 in words is "fifty-three billion, eight hundred twenty-six million, nine hundred eighty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 228 267 342 356 379 534 684 758 801 1068 1137 1516 1602 1691 2274 2333 3204 3382 3411 4548 4666 5073 6764 6822 6999 7201 9332 10146 13644 13998 14402 15219 20292 20997 21603 27996 28804 30438 33731 41994 43206 44327 60876 64809 67462 83988 86412 88654 101193 129618 132981 134924 177308 202386 207637 259236 265962 303579 398943 404772 415274 531924 607158 622911 640889 797886 830548 884207 1214316 1245822 1281778 1595772 1768414 1868733 1922667 2491644 2563556 2652621 3536828 3737466 3845334 3945103 5305242 5768001 7474932 7690668 7890206 7957863 10610484 11536002 11835309 15780412 15915726 16799933 23072004 23670618 31831452 33599866 35505927 47341236 50399799 67199732 71011854 78694423 100799598 142023708 151199397 157388846 201599196 236083269 302398794 314777692 472166538 604797588 708249807 944333076 1416499614 1495194037 2832999228 2990388074 4485582111 5980776148 8971164222 13456746333 17942328444 26913492666 53826985332