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8533641140352 = 27333385772931
BaseRepresentation
bin111110000101110010010…
…1001100001100010000000
31010012210211010100010001000
41330023210221201202000
52104303344112442402
630052144533412000
71540351403604156
oct174134451414200
933183733303030
108533641140352
1127a0107a52369
12b59a6319a000
1349b94658ca33
1421705d7293d6
15ebea61adc1c
hex7c2e4a61880

8533641140352 has 128 divisors (see below), whose sum is σ = 25187182891200. Its totient is φ = 2844424028160.

The previous prime is 8533641140309. The next prime is 8533641140359. The reversal of 8533641140352 is 2530411463358.

8533641140352 is a `hidden beast` number, since 8 + 533 + 6 + 41 + 1 + 40 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×85336411403522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8533641140298 and 8533641140307.

It is not an unprimeable number, because it can be changed into a prime (8533641140359) 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 15 ways as a sum of consecutive naturals, for example, 116973327 + ... + 117046257.

Almost surely, 28533641140352 is an apocalyptic number.

It is an amenable number.

8533641140352 is an abundant number, since it is smaller than the sum of its proper divisors (16653541750848).

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

8533641140352 is a wasteful number, since it uses less digits than its factorization.

8533641140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106811 (or 106793 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 8533641140352 in words is "eight trillion, five hundred thirty-three billion, six hundred forty-one million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 33857 67714 72931 101571 135428 145862 203142 218793 270856 291724 304713 406284 437586 541712 583448 609426 656379 812568 875172 914139 1083424 1166896 1218852 1312758 1625136 1750344 1828278 1969137 2166848 2333792 2437704 2625516 3250272 3500688 3656556 3938274 4333696 4667584 4875408 5251032 6500544 7001376 7313112 7876548 9335168 9750816 10502064 13001088 14002752 14626224 15753096 19501632 21004128 28005504 29252448 31506192 39003264 42008256 58504896 63012384 84016512 117009792 126024768 252049536 2469224867 4938449734 7407674601 9876899468 14815349202 19753798936 22223023803 29630698404 39507597872 44446047606 59261396808 66669071409 79015195744 88892095212 118522793616 133338142818 158030391488 177784190424 237045587232 266676285636 316060782976 355568380848 474091174464 533352571272 711136761696 948182348928 1066705142544 1422273523392 2133410285088 2844547046784 4266820570176 8533641140352