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211063081632 = 25313237171329
BaseRepresentation
bin1100010010010001010…
…1110000101010100000
3202011210100102110110120
43010210111300222200
511424224122103012
6240543330200240
721151224410214
oct3044425605240
9664710373416
10211063081632
1181569675177
1234aa4723080
1316b98332320
14a3034d2944
15575482458c
hex3124570aa0

211063081632 has 96 divisors (see below), whose sum is σ = 596919113280. Its totient is φ = 64914186240.

The previous prime is 211063081627. The next prime is 211063081633. The reversal of 211063081632 is 236180360112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 211063081593 and 211063081602.

It is not an unprimeable number, because it can be changed into a prime (211063081633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923344 + ... + 2994672.

It is an arithmetic number, because the mean of its divisors is an integer number (6217907430).

Almost surely, 2211063081632 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 211063081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298459556640).

211063081632 is an abundant number, since it is smaller than the sum of its proper divisors (385856031648).

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

211063081632 is a wasteful number, since it uses less digits than its factorization.

211063081632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73726 (or 73718 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 211063081632 in words is "two hundred eleven billion, sixty-three million, eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2371 4742 7113 9484 14226 18968 28452 30823 37936 56904 61646 71329 75872 92469 113808 123292 142658 184938 213987 227616 246584 285316 369876 427974 493168 570632 739752 855948 927277 986336 1141264 1479504 1711896 1854554 2282528 2781831 2959008 3423792 3709108 5563662 6847584 7418216 11127324 14836432 22254648 29672864 44509296 89018592 169121059 338242118 507363177 676484236 1014726354 1352968472 2029452708 2198573767 2705936944 4058905416 4397147534 5411873888 6595721301 8117810832 8794295068 13191442602 16235621664 17588590136 26382885204 35177180272 52765770408 70354360544 105531540816 211063081632