Search a number
-
+
1051600452000 = 25353714878419
BaseRepresentation
bin11110100110110000100…
…01010111100110100000
310201112100211202222111220
433103120101113212200
5114212134203431000
62123033143135040
7135655432233420
oct17233021274640
93645324688456
101051600452000
11375a8804924a
1214b982a44480
137821c79bc87
1438c7d548480
151c54b8991a0
hexf4d84579a0

1051600452000 has 384 divisors, whose sum is σ = 3940307804160. Its totient is φ = 240175641600.

The previous prime is 1051600451999. The next prime is 1051600452011. The reversal of 1051600452000 is 2540061501.

It is a super-2 number, since 2×10516004520002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 124903791 + ... + 124912209.

It is an arithmetic number, because the mean of its divisors is an integer number (10261218240).

Almost surely, 21051600452000 is an apocalyptic number.

1051600452000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051600452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970153902080).

1051600452000 is an abundant number, since it is smaller than the sum of its proper divisors (2888707352160).

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

1051600452000 is a wasteful number, since it uses less digits than its factorization.

1051600452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 1051600452000 in words is "one trillion, fifty-one billion, six hundred million, four hundred fifty-two thousand".