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39869980375824 = 24325261892
BaseRepresentation
bin10010001000010111101000…
…00001000111101100010000
312020011112101111001202101100
421010023310001013230100
520211212204434011244
6220444003252304400
711253340165344024
oct1104136401075420
9166145344052340
1039869980375824
1111781844572015
12457b09b912100
1319329526118c1
149bba08582384
1549219a2cdb69
hex2442f4047b10

39869980375824 has 45 divisors (see below), whose sum is σ = 111580782134133. Its totient is φ = 13289968201536.

The previous prime is 39869980375817. The next prime is 39869980375861. The reversal of 39869980375824 is 42857308996893.

The square root of 39869980375824 is 6314268.

It is a perfect power (a square), and thus also a powerful number.

39869980375824 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 99 + 80 + 375 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36286985681424 + 3582994694400 = 6023868^2 + 1892880^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 75508122 + ... + 76034310.

Almost surely, 239869980375824 is an apocalyptic number.

39869980375824 is the 6314268-th square number.

It is an amenable number.

39869980375824 is an abundant number, since it is smaller than the sum of its proper divisors (71710801758309).

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

39869980375824 is an frugal number, since it uses more digits than its factorization.

39869980375824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052392 (or 526194 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 39869980375824 in words is "thirty-nine trillion, eight hundred sixty-nine billion, nine hundred eighty million, three hundred seventy-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 526189 1052378 1578567 2104756 3157134 4209512 4735701 6314268 8419024 9471402 12628536 18942804 25257072 37885608 75771216 276874863721 553749727442 830624591163 1107499454884 1661249182326 2214998909768 2491873773489 3322498364652 4429997819536 4983747546978 6644996729304 9967495093956 13289993458608 19934990187912 39869980375824