Search a number
-
+
1108825848064 = 281123121932
BaseRepresentation
bin10000001000101011001…
…010111011100100000000
310221000001222110022012101
4100020223022323210000
5121131333404114224
62205215414040144
7143052511125004
oct20105312734400
93830058408171
101108825848064
11398283314300
1215aa93649054
138073c45148c
143b94b708704
151dc9a72c044
hex1022b2bb900

1108825848064 has 243 divisors, whose sum is σ = 2526925438737. Its totient is φ = 485226086400.

The previous prime is 1108825848049. The next prime is 1108825848083. The reversal of 1108825848064 is 4608485288011.

The square root of 1108825848064 is 1053008.

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

It can be written as a sum of positive squares in only one way, i.e., 268655622400 + 840170225664 = 518320^2 + 916608^2 .

It is a super-2 number, since 2×11088258480642 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1108825847996 and 1108825848014.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5745211552 + ... + 5745211744.

Almost surely, 21108825848064 is an apocalyptic number.

1108825848064 is the 1053008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1108825848064

1108825848064 is an abundant number, since it is smaller than the sum of its proper divisors (1418099590673).

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

1108825848064 is an frugal number, since it uses more digits than its factorization.

1108825848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 55.

The spelling of 1108825848064 in words is "one trillion, one hundred eight billion, eight hundred twenty-five million, eight hundred forty-eight thousand, sixty-four".