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210917681968 = 24767227123821
BaseRepresentation
bin1100010001101110101…
…1000110101100110000
3202011102012211101121211
43010123223012230300
511423424411310333
6240521053525504
721144510500410
oct3043353065460
9664365741554
10210917681968
11814a4595264
1234a63aa3894
1316b74184316
14a2cc084640
155746ba2ecd
hex311bac6b30

210917681968 has 80 divisors (see below), whose sum is σ = 476094599424. Its totient is φ = 88651157760.

The previous prime is 210917681941. The next prime is 210917681969. The reversal of 210917681968 is 869186719012.

It is not an unprimeable number, because it can be changed into a prime (210917681969) 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, 1641498 + ... + 1765318.

Almost surely, 2210917681968 is an apocalyptic number.

210917681968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210917681968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238047299712).

210917681968 is an abundant number, since it is smaller than the sum of its proper divisors (265176917456).

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

210917681968 is a wasteful number, since it uses less digits than its factorization.

210917681968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124130 (or 124124 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 58.

The spelling of 210917681968 in words is "two hundred ten billion, nine hundred seventeen million, six hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 227 268 454 469 536 908 938 1072 1589 1816 1876 3178 3632 3752 6356 7504 12712 15209 25424 30418 60836 106463 121672 123821 212926 243344 247642 425852 495284 851704 866747 990568 1703408 1733494 1981136 3466988 6933976 8296007 13867952 16592014 28107367 33184028 56214734 58072049 66368056 112429468 116144098 132736112 196751569 224858936 232288196 393503138 449717872 464576392 787006276 929152784 1574012552 1883193589 3148025104 3766387178 7532774356 13182355123 15065548712 26364710246 30131097424 52729420492 105458840984 210917681968