Search a number
-
+
232913285498880 = 211345725730773
BaseRepresentation
bin110100111101010101011001…
…101001010100100000000000
31010112200021220022222000120000
4310331111121221110200000
5221012022402041431010
62143210515231320000
7100026300225122400
oct6475253151244000
91115607808860500
10232913285498880
1168238a73699a18
12221581a4080000
139cc6822cb181c
1441730c548c800
151bdd9208bb7c0
hexd3d559a54800

232913285498880 has 720 divisors, whose sum is σ = 971132893190460. Its totient is φ = 53237313110016.

The previous prime is 232913285498879. The next prime is 232913285498923. The reversal of 232913285498880 is 88894582319232.

It is a happy number.

232913285498880 is a `hidden beast` number, since 2 + 3 + 2 + 91 + 328 + 54 + 98 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 231243359929344 + 1669925569536 = 15206688^2 + 1292256^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 232913285498799 and 232913285498808.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37777174 + ... + 43507946.

Almost surely, 2232913285498880 is an apocalyptic number.

232913285498880 is a gapful number since it is divisible by the number (20) 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 232913285498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485566446595230).

232913285498880 is an abundant number, since it is smaller than the sum of its proper divisors (738219607691580).

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

232913285498880 is an equidigital number, since it uses as much as digits as its factorization.

232913285498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730826 (or 5730790 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 232913285498880 in words is "two hundred thirty-two trillion, nine hundred thirteen billion, two hundred eighty-five million, four hundred ninety-eight thousand, eight hundred eighty".