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69364400625 = 345413105397
BaseRepresentation
bin100000010011001110…
…0001100000111110001
320122001010100122110000
41000212130030013301
52114024241310000
651510543500213
75003625451152
oct1004634140761
9218033318400
1069364400625
1127465439933
1211539bb7669
136705866250
143500443929
151c0e910000
hex102670c1f1

69364400625 has 100 divisors (see below), whose sum is σ = 139443029572. Its totient is φ = 34148304000.

The previous prime is 69364400621. The next prime is 69364400659. The reversal of 69364400625 is 52600446396.

It can be written as a sum of positive squares in 10 ways, for example, as 67553727921 + 1810672704 = 259911^2 + 42552^2 .

It is not a de Polignac number, because 69364400625 - 22 = 69364400621 is a prime.

It is a super-2 number, since 2×693644006252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (69364400621) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 605427 + ... + 710823.

Almost surely, 269364400625 is an apocalyptic number.

69364400625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

69364400625 is an abundant number, since it is smaller than the sum of its proper divisors (70078628947).

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

69364400625 is a wasteful number, since it uses less digits than its factorization.

69364400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105442 (or 105418 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 69364400625 in words is "sixty-nine billion, three hundred sixty-four million, four hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 195 225 325 351 375 405 585 625 675 975 1053 1125 1625 1755 1875 2025 2925 3375 4875 5265 5625 8125 8775 10125 14625 16875 24375 26325 43875 50625 73125 105397 131625 219375 316191 526985 658125 948573 1370161 1580955 2634925 2845719 4110483 4742865 6850805 7904775 8537157 12331449 13174625 14228595 20552415 23714325 34254025 36994347 39523875 42685785 61657245 65873125 71142975 102762075 110983041 118571625 171270125 184971735 197619375 213428925 308286225 355714875 513810375 554915205 592858125 856350625 924858675 1067144625 1541431125 1778574375 2569051875 2774576025 4624293375 5335723125 7707155625 13872880125 23121466875 69364400625