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232053578016 = 253139717910709
BaseRepresentation
bin1101100000011101111…
…0001001100100100000
3211011222012202011022120
43120013132021210200
512300221203444031
6254334241304240
722523334603531
oct3300736114440
9734865664276
10232053578016
118a460216847
1238b82335080
1318b61c9a4a0
14b335170688
1560824e5a96
hex3607789920

232053578016 has 192 divisors, whose sum is σ = 666525283200. Its totient is φ = 70263668736.

The previous prime is 232053577957. The next prime is 232053578017. The reversal of 232053578016 is 610875350232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232053578017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21663670 + ... + 21674378.

It is an arithmetic number, because the mean of its divisors is an integer number (3471485850).

Almost surely, 2232053578016 is an apocalyptic number.

232053578016 is a gapful number since it is divisible by the number (26) 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 232053578016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333262641600).

232053578016 is an abundant number, since it is smaller than the sum of its proper divisors (434471705184).

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

232053578016 is a wasteful number, since it uses less digits than its factorization.

232053578016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11011 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 232053578016 in words is "two hundred thirty-two billion, fifty-three million, five hundred seventy-eight thousand, sixteen".