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70851533328 = 243628121617
BaseRepresentation
bin100000111111100010…
…1001001101000010000
320202212202122211000000
41001333011021220100
52130100443031303
652314310130000
75055524045052
oct1017705115020
9222782584000
1070851533328
1128058930724
1211894050900
1368b19a1824
143601b578d2
151c9a266da3
hex107f149a10

70851533328 has 140 divisors (see below), whose sum is σ = 206560119708. Its totient is φ = 23532042240.

The previous prime is 70851533297. The next prime is 70851533353. The reversal of 70851533328 is 82333515807.

70851533328 is a `hidden beast` number, since 7 + 0 + 85 + 1 + 533 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29450678544 + 41400854784 = 171612^2 + 203472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3266776 + ... + 3288392.

Almost surely, 270851533328 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 70851533328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103280059854).

70851533328 is an abundant number, since it is smaller than the sum of its proper divisors (135708586380).

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

70851533328 is a wasteful number, since it uses less digits than its factorization.

70851533328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 70851533328 in words is "seventy billion, eight hundred fifty-one million, five hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 281 324 432 486 562 648 729 843 972 1124 1296 1458 1686 1944 2248 2529 2916 3372 3888 4496 5058 5832 6744 7587 10116 11664 13488 15174 20232 21617 22761 30348 40464 43234 45522 60696 64851 68283 86468 91044 121392 129702 136566 172936 182088 194553 204849 259404 273132 345872 364176 389106 409698 518808 546264 583659 778212 819396 1037616 1092528 1167318 1556424 1638792 1750977 2334636 3112848 3277584 3501954 4669272 5252931 6074377 7003908 9338544 10505862 12148754 14007816 15758793 18223131 21011724 24297508 28015632 31517586 36446262 42023448 48595016 54669393 63035172 72892524 84046896 97190032 109338786 126070344 145785048 164008179 218677572 252140688 291570096 328016358 437355144 492024537 656032716 874710288 984049074 1312065432 1476073611 1968098148 2624130864 2952147222 3936196296 4428220833 5904294444 7872392592 8856441666 11808588888 17712883332 23617177776 35425766664 70851533328