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67202242952 = 23132101948779
BaseRepresentation
bin111110100101100100…
…001101100110001000
320102110102212122201012
4332211210031212020
52100112233233302
650512225143052
74566222432365
oct764544154610
9212412778635
1067202242952
1126555a06869
1211035a8aa88
13644c924300
14337721746c
151b34bbaa52
hexfa590d988

67202242952 has 48 divisors (see below), whose sum is σ = 136579122000. Its totient is φ = 30985346496.

The previous prime is 67202242949. The next prime is 67202242957. The reversal of 67202242952 is 25924220276.

It is a super-2 number, since 2×672022429522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67202242957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353299 + ... + 1402077.

It is an arithmetic number, because the mean of its divisors is an integer number (2845398375).

Almost surely, 267202242952 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 67202242952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68289561000).

67202242952 is an abundant number, since it is smaller than the sum of its proper divisors (69376879048).

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

67202242952 is a wasteful number, since it uses less digits than its factorization.

67202242952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49830 (or 49813 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 67202242952 in words is "sixty-seven billion, two hundred two million, two hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1019 1352 2038 4076 8152 13247 26494 48779 52988 97558 105976 172211 195116 344422 390232 634127 688844 1268254 1377688 2536508 5073016 8243651 16487302 32974604 49705801 65949208 99411602 198823204 397646408 646175413 1292350826 2584701652 5169403304 8400280369 16800560738 33601121476 67202242952