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212872479384 = 233172713136151
BaseRepresentation
bin1100011001000000110…
…0000100001010011000
3202100110110010101120010
43012100030010022120
511441430323320014
6241443044001520
721244115135265
oct3062014041230
9670413111503
10212872479384
1182307a68514
123530a6902a0
13170c6162a96
14a43593426c
15580d5d7359
hex3190304298

212872479384 has 128 divisors (see below), whose sum is σ = 567464417280. Its totient is φ = 66313728000.

The previous prime is 212872479329. The next prime is 212872479427. The reversal of 212872479384 is 483974278212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34604709 + ... + 34610859.

It is an arithmetic number, because the mean of its divisors is an integer number (4433315760).

Almost surely, 2212872479384 is an apocalyptic number.

212872479384 is a gapful number since it is divisible by the number (24) 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 212872479384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283732208640).

212872479384 is an abundant number, since it is smaller than the sum of its proper divisors (354591937896).

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

212872479384 is a wasteful number, since it uses less digits than its factorization.

212872479384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6757 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 212872479384 in words is "two hundred twelve billion, eight hundred seventy-two million, four hundred seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 271 313 408 542 626 813 939 1084 1252 1626 1878 2168 2504 3252 3756 4607 5321 6151 6504 7512 9214 10642 12302 13821 15963 18428 18453 21284 24604 27642 31926 36856 36906 42568 49208 55284 63852 73812 84823 104567 110568 127704 147624 169646 209134 254469 313701 339292 418268 508938 627402 678584 836536 1017876 1254804 1441991 1666921 1925263 2035752 2509608 2883982 3333842 3850526 4325973 5000763 5767964 5775789 6667684 7701052 8651946 10001526 11535928 11551578 13335368 15402104 17303892 20003052 23103156 28337657 32729471 34607784 40006104 46206312 56675314 65458942 85012971 98188413 113350628 130917884 170025942 196376826 226701256 261835768 340051884 392753652 521746273 680103768 785507304 1043492546 1565238819 2086985092 3130477638 4173970184 6260955276 8869686641 12521910552 17739373282 26609059923 35478746564 53218119846 70957493128 106436239692 212872479384