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84852026648352 = 25327914867250853
BaseRepresentation
bin10011010010110000100110…
…111010000010011100100000
3102010102202220122000001001200
4103102300212322002130200
542110203422310221402
6500244252150401200
723605233215132145
oct2322604672023440
9363382818001050
1084852026648352
11250445a6a56447
129624a84060200
1338466864c1932
1416d4c07bc03cc
159c22e145421c
hex4d2c26e82720

84852026648352 has 144 divisors (see below), whose sum is σ = 244369765261440. Its totient is φ = 27923993750016.

The previous prime is 84852026648327. The next prime is 84852026648381. The reversal of 84852026648352 is 25384662025848.

It is a happy number.

84852026648352 is a `hidden beast` number, since 8 + 4 + 8 + 520 + 2 + 66 + 48 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 84852026648352.

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 23 ways as a sum of consecutive naturals, for example, 338128558 + ... + 338379410.

It is an arithmetic number, because the mean of its divisors is an integer number (1697012258760).

Almost surely, 284852026648352 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 84852026648352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122184882630720).

84852026648352 is an abundant number, since it is smaller than the sum of its proper divisors (159517738613088).

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

84852026648352 is a wasteful number, since it uses less digits than its factorization.

84852026648352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265815 (or 265804 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 84852026648352 in words is "eighty-four trillion, eight hundred fifty-two billion, twenty-six million, six hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 14867 22752 29734 44601 59468 89202 118936 133803 178404 237872 250853 267606 356808 475744 501706 535212 713616 752559 1003412 1070424 1174493 1427232 1505118 2006824 2140848 2257677 2348986 3010236 3523479 4013648 4281696 4515354 4697972 6020472 7046958 8027296 9030708 9395944 10570437 12040944 14093916 18061416 18791888 19817387 21140874 24081888 28187832 36122832 37583776 39634774 42281748 56375664 59452161 72245664 79269548 84563496 112751328 118904322 158539096 169126992 178356483 237808644 317078192 338253984 356712966 475617288 634156384 713425932 951234576 1426851864 1902469152 2853703728 3729431551 5707407456 7458863102 11188294653 14917726204 22376589306 29835452408 33564883959 44753178612 59670904816 67129767918 89506357224 119341809632 134259535836 179012714448 268519071672 294625092529 358025428896 537038143344 589250185058 883875277587 1074076286688 1178500370116 1767750555174 2357000740232 2651625832761 3535501110348 4714001480464 5303251665522 7071002220696 9428002960928 10606503331044 14142004441392 21213006662088 28284008882784 42426013324176 84852026648352