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238454450832 = 24313715382233
BaseRepresentation
bin1101111000010011111…
…1100010101010010000
3211210111022010012010010
43132010333202222100
512401323314411312
6301313334234520
723141060250363
oct3360477425220
9753438105103
10238454450832
1192145359284
123a269ab5a40
1319642121bb0
14b7812d00da
15630941593c
hex3784fe2a90

238454450832 has 80 divisors (see below), whose sum is σ = 672736192128. Its totient is φ = 72337198080.

The previous prime is 238454450831. The next prime is 238454450833. The reversal of 238454450832 is 238054454832.

238454450832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238454450831) and next prime (238454450833).

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

It is not an unprimeable number, because it can be changed into a prime (238454450831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2646813 + ... + 2735420.

Almost surely, 2238454450832 is an apocalyptic number.

It is an amenable number.

238454450832 is an abundant number, since it is smaller than the sum of its proper divisors (434281741296).

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

238454450832 is a wasteful number, since it uses less digits than its factorization.

238454450832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382328 (or 5382322 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 238454450832 in words is "two hundred thirty-eight billion, four hundred fifty-four million, four hundred fifty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 14768 22152 44304 5382233 10764466 16146699 21528932 32293398 43057864 64586796 69969029 86115728 129173592 139938058 209907087 258347184 279876116 382138543 419814174 559752232 764277086 839628348 1119504464 1146415629 1528554172 1679256696 2292831258 3057108344 3358513392 4585662516 4967801059 6114216688 9171325032 9935602118 14903403177 18342650064 19871204236 29806806354 39742408472 59613612708 79484816944 119227225416 238454450832