Search a number
-
+
332053001651600 = 2452830132504129
BaseRepresentation
bin100101110000000000001110…
…1001101011100010110010000
31121112200221211121110001211122
41023200000131031130112100
5322010324021410322400
63134115013145501412
7126641015633242055
oct11340003515342620
91545627747401748
10332053001651600
1196890983912709
12312aa11a4a1868
131133860498a348
145bdd6458b902c
15285c6d9778685
hex12e001d35c590

332053001651600 has 30 divisors (see below), whose sum is σ = 797757336468930. Its totient is φ = 132821200660480.

The previous prime is 332053001651563. The next prime is 332053001651639. The reversal of 332053001651600 is 6156100350233.

It can be written as a sum of positive squares in 3 ways, for example, as 82431582105856 + 249621419545744 = 9079184^2 + 15799412^2 .

It is a super-2 number, since 2×3320530016516002 (a number of 30 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 415066251665 + ... + 415066252464.

It is an arithmetic number, because the mean of its divisors is an integer number (26591911215631).

Almost surely, 2332053001651600 is an apocalyptic number.

It is an amenable number.

332053001651600 is an abundant number, since it is smaller than the sum of its proper divisors (465704334817330).

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

332053001651600 is a wasteful number, since it uses less digits than its factorization.

332053001651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830132504147 (or 830132504136 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 332053001651600 in words is "three hundred thirty-two trillion, fifty-three billion, one million, six hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 830132504129 1660265008258 3320530016516 4150662520645 6641060033032 8301325041290 13282120066064 16602650082580 20753312603225 33205300165160 41506625206450 66410600330320 83013250412900 166026500825800 332053001651600