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232015650048 = 28337133173163
BaseRepresentation
bin1101100000010100110…
…1011101110100000000
3211011212120101012221000
43120011031131310000
512300132001300143
6254330404332000
722522364325420
oct3300515356400
9734776335830
10232015650048
118a440870a16
1238b716a4000
1318b5717aac0
14b3300da480
15607e002bd3
hex360535dd00

232015650048 has 1152 divisors, whose sum is σ = 889046466560. Its totient is φ = 58047528960.

The previous prime is 232015650029. The next prime is 232015650101. The reversal of 232015650048 is 840056510232.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232015649994 and 232015650021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1423408815 + ... + 1423408977.

Almost surely, 2232015650048 is an apocalyptic number.

232015650048 is a gapful number since it is divisible by the number (28) 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 232015650048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444523233280).

232015650048 is an abundant number, since it is smaller than the sum of its proper divisors (657030816512).

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

232015650048 is a wasteful number, since it uses less digits than its factorization.

232015650048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 232015650048 in words is "two hundred thirty-two billion, fifteen million, six hundred fifty thousand, forty-eight".