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46152422425164 = 223113976071450913
BaseRepresentation
bin10100111111001101100101…
…01111101000001001001100
320001102010110200011000200210
422133212302233220021030
522022130130120101124
6242054044040522420
712502255023562206
oct1237466257501114
9201363420130623
1046152422425164
11137841502a4540
125214794a80410
131c9a202014883
14b57b09675776
155507e5289a29
hex29f9b2be824c

46152422425164 has 96 divisors (see below), whose sum is σ = 117968919054336. Its totient is φ = 13927362324480.

The previous prime is 46152422425091. The next prime is 46152422425211.

46152422425164 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31083772 + ... + 32534684.

It is an arithmetic number, because the mean of its divisors is an integer number (1228842906816).

Almost surely, 246152422425164 is an apocalyptic number.

46152422425164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46152422425164 is an abundant number, since it is smaller than the sum of its proper divisors (71816496629172).

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

46152422425164 is a wasteful number, since it uses less digits than its factorization.

46152422425164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451935 (or 1451933 counting only the distinct ones).

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

The spelling of 46152422425164 in words is "forty-six trillion, one hundred fifty-two billion, four hundred twenty-two million, four hundred twenty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 397 607 794 1191 1214 1588 1821 2382 2428 3642 4367 4764 6677 7284 8734 13101 13354 17468 20031 26202 26708 40062 52404 80124 240979 481958 722937 963916 1445874 1450913 2650769 2891748 2901826 4352739 5301538 5803652 7952307 8705478 10603076 15904614 15960043 17410956 31809228 31920086 47880129 63840172 95760258 191520516 576012461 880704191 1152024922 1728037383 1761408382 2304049844 2642112573 3456074766 3522816764 5284225146 6336137071 6912149532 9687746101 10568450292 12672274142 19008411213 19375492202 25344548284 29063238303 38016822426 38750984404 58126476606 76033644852 116252953212 349639563827 699279127654 1048918691481 1398558255308 2097837382962 3846035202097 4195674765924 7692070404194 11538105606291 15384140808388 23076211212582 46152422425164