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3421515870756 = 22341027632
BaseRepresentation
bin110001110010100010001…
…111001111001000100100
3110010002112022202010110000
4301302202033033020210
5422024231030331011
611135453411301300
7502124232020214
oct61624217171044
913102468663400
103421515870756
1110aa069568245
124731428aa830
131ba855903bc9
14bb860816244
155e004eda356
hex31ca23cf224

3421515870756 has 45 divisors (see below), whose sum is σ = 8944605382251. Its totient is φ = 1140494191848.

The previous prime is 3421515870727. The next prime is 3421515870757. The reversal of 3421515870756 is 6570785151243.

The square root of 3421515870756 is 1849734.

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

3421515870756 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 5 + 1 + 587 + 0 + 7 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3421515870757) 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 14 ways as a sum of consecutive naturals, for example, 33243831 + ... + 33346593.

Almost surely, 23421515870756 is an apocalyptic number.

3421515870756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3421515870756 is the 1849734-th square number.

It is an amenable number.

3421515870756 is an abundant number, since it is smaller than the sum of its proper divisors (5523089511495).

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

3421515870756 is an frugal number, since it uses more digits than its factorization.

3421515870756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205542 (or 102768 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 3421515870756 in words is "three trillion, four hundred twenty-one billion, five hundred fifteen million, eight hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 102763 205526 308289 411052 616578 924867 1233156 1849734 2774601 3699468 5549202 8323803 11098404 16647606 33295212 10560234169 21120468338 31680702507 42240936676 63361405014 95042107521 126722810028 190084215042 285126322563 380168430084 570252645126 855378967689 1140505290252 1710757935378 3421515870756