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146144672050 = 25213297753033
BaseRepresentation
bin1000100000011011100…
…1101011100100110010
3111222020001222120011111
42020012321223210302
54343301014001200
6151045443303534
713362413134036
oct2100671534462
9458201876144
10146144672050
1156a85948203
12243a767abaa
1310a20912810
14710573a1c6
153c053d50ba
hex2206e6b932

146144672050 has 48 divisors (see below), whose sum is σ = 302833508040. Its totient is φ = 52100375040.

The previous prime is 146144672027. The next prime is 146144672083. The reversal of 146144672050 is 50276441641.

It can be written as a sum of positive squares in 12 ways, for example, as 19087356649 + 127057315401 = 138157^2 + 356451^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146144671994 and 146144672012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3857667 + ... + 3895366.

Almost surely, 2146144672050 is an apocalyptic number.

146144672050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146144672050 is an abundant number, since it is smaller than the sum of its proper divisors (156688835990).

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

146144672050 is a wasteful number, since it uses less digits than its factorization.

146144672050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753087 (or 7753082 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 146144672050 in words is "one hundred forty-six billion, one hundred forty-four million, six hundred seventy-two thousand, fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 65 130 145 290 325 377 650 725 754 1450 1885 3770 9425 18850 7753033 15506066 38765165 77530330 100789429 193825825 201578858 224837957 387651650 449675914 503947145 1007894290 1124189785 2248379570 2519735725 2922893441 5039471450 5620948925 5845786882 11241897850 14614467205 29228934410 73072336025 146144672050