Search a number
-
+
1472450469600 = 2535211550110139
BaseRepresentation
bin10101011011010100111…
…000110001111011100000
312012202122121022222200210
4111123110320301323200
5143111034310011400
63044233455414120
7211244460324645
oct25332470617340
95182577288623
101472450469600
1151850a9a3450
121b9454824340
13a8b0b92b226
14513a485bdcc
152847d965950
hex156d4e31ee0

1472450469600 has 288 divisors, whose sum is σ = 5230004008320. Its totient is φ = 356857600000.

The previous prime is 1472450469599. The next prime is 1472450469601. The reversal of 1472450469600 is 69640542741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1472450469599) and next prime (1472450469601).

It is a super-2 number, since 2×14724504696002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1472450469600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472450469601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145221331 + ... + 145231469.

It is an arithmetic number, because the mean of its divisors is an integer number (18159736140).

Almost surely, 21472450469600 is an apocalyptic number.

1472450469600 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 1472450469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615002004160).

1472450469600 is an abundant number, since it is smaller than the sum of its proper divisors (3757553538720).

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

1472450469600 is a wasteful number, since it uses less digits than its factorization.

1472450469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15674 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 1472450469600 in words is "one trillion, four hundred seventy-two billion, four hundred fifty million, four hundred sixty-nine thousand, six hundred".