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437034020381 = 7236137016317
BaseRepresentation
bin1100101110000010100…
…00011110111000011101
31112210001122121112100022
412113001100132320131
524130021202123011
6532434243441525
743401052610630
oct6270120367035
91483048545308
10437034020381
11159388347012
12708499862a5
133229b08b27a
141721c8a1c17
15b57cd0b8db
hex65c141ee1d

437034020381 has 32 divisors (see below), whose sum is σ = 522861101568. Its totient is φ = 357162220800.

The previous prime is 437034020347. The next prime is 437034020383. The reversal of 437034020381 is 183020430734.

It is a de Polignac number, because none of the positive numbers 2k-437034020381 is a prime.

It is a super-2 number, since 2×4370340203812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437034020383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69180635 + ... + 69186951.

It is an arithmetic number, because the mean of its divisors is an integer number (16339409424).

Almost surely, 2437034020381 is an apocalyptic number.

It is an amenable number.

437034020381 is a deficient number, since it is larger than the sum of its proper divisors (85827081187).

437034020381 is a wasteful number, since it uses less digits than its factorization.

437034020381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661.

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 437034020381 in words is "four hundred thirty-seven billion, thirty-four million, twenty thousand, three hundred eighty-one".

Divisors: 1 7 23 161 613 701 4291 4907 6317 14099 16123 44219 98693 112861 145291 429713 1017037 3007991 3872321 4428217 9883399 27106247 30997519 69183793 89063383 101848991 623443681 712942937 2714497021 19001479147 62433431483 437034020381