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9706801840 = 2453110933581
BaseRepresentation
bin10010000101001001…
…00000101010110000
3221001111001121212021
421002210200222300
5124334420124330
64243110241224
7462354311551
oct110244405260
927044047767
109706801840
11413126698a
121a6a956214
13bb9031638
14681240328
153bc29467a
hex242920ab0

9706801840 has 80 divisors (see below), whose sum is σ = 23324150016. Its totient is φ = 3752985600.

The previous prime is 9706801823. The next prime is 9706801843. The reversal of 9706801840 is 481086079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×97068018402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9706801843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708850 + ... + 2712430.

Almost surely, 29706801840 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 9706801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662075008).

9706801840 is an abundant number, since it is smaller than the sum of its proper divisors (13617348176).

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

9706801840 is a wasteful number, since it uses less digits than its factorization.

9706801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 9706801840 is about 98523.1030774001. The cubic root of 9706801840 is about 2133.1696100482.

The spelling of 9706801840 in words is "nine billion, seven hundred six million, eight hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1093 1240 2186 2480 3581 4372 5465 7162 8744 10930 14324 17488 17905 21860 28648 33883 35810 43720 57296 67766 71620 87440 111011 135532 143240 169415 222022 271064 286480 338830 444044 542128 555055 677660 888088 1110110 1355320 1776176 2220220 2710640 3914033 4440440 7828066 8880880 15656132 19570165 31312264 39140330 62624528 78280660 121335023 156561320 242670046 313122640 485340092 606675115 970680184 1213350230 1941360368 2426700460 4853400920 9706801840