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146966726148 = 223113236334403
BaseRepresentation
bin1000100011011111100…
…1100100011000000100
3112001100100211020101120
42020313321210120010
54401441440214043
6151303210553540
713421654363154
oct2106771443004
9461310736346
10146966726148
1157367981660
1224596a388b0
1310b22017a68
1471829a6764
153c52666983
hex2237e64604

146966726148 has 48 divisors (see below), whose sum is σ = 374119554816. Its totient is φ = 44532700960.

The previous prime is 146966726143. The next prime is 146966726237. The reversal of 146966726148 is 841627669641.

It is a happy number.

It is a super-2 number, since 2×1469667261482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146966726091 and 146966726100.

It is not an unprimeable number, because it can be changed into a prime (146966726143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254715 + ... + 4289117.

It is an arithmetic number, because the mean of its divisors is an integer number (7794157392).

Almost surely, 2146966726148 is an apocalyptic number.

It is an amenable number.

146966726148 is an abundant number, since it is smaller than the sum of its proper divisors (227152828668).

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

146966726148 is a wasteful number, since it uses less digits than its factorization.

146966726148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66784 (or 66782 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 146966726148 in words is "one hundred forty-six billion, nine hundred sixty-six million, seven hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 32363 34403 64726 68806 97089 103209 129452 137612 194178 206418 355993 378433 388356 412836 711986 756866 1067979 1135299 1423972 1513732 2135958 2270598 4271916 4541196 1113384289 2226768578 3340152867 4453537156 6680305734 12247227179 13360611468 24494454358 36741681537 48988908716 73483363074 146966726148