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146407091620 = 22517974439269
BaseRepresentation
bin1000100001011010001…
…0101110110110100100
3111222220100202212010211
42020112202232312210
54344320203412440
6151131500025204
713402050513466
oct2102642566644
9458810685124
10146407091620
11570aaa93989
122445b532204
1310a630b317a
14712c52a136
153c1d46deea
hex22168aeda4

146407091620 has 48 divisors (see below), whose sum is σ = 328896635760. Its totient is φ = 54549725184.

The previous prime is 146407091609. The next prime is 146407091639. The reversal of 146407091620 is 26190704641.

It can be written as a sum of positive squares in 8 ways, for example, as 6846569536 + 139560522084 = 82744^2 + 373578^2 .

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 15 ways as a sum of consecutive naturals, for example, 2186655 + ... + 2252614.

It is an arithmetic number, because the mean of its divisors is an integer number (6852013245).

Almost surely, 2146407091620 is an apocalyptic number.

146407091620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146407091620 is an abundant number, since it is smaller than the sum of its proper divisors (182489544140).

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

146407091620 is a wasteful number, since it uses less digits than its factorization.

146407091620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439392 (or 4439390 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 146407091620 in words is "one hundred forty-six billion, four hundred seven million, ninety-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 4439269 8878538 17757076 22196345 44392690 75467573 88785380 150935146 301870292 377337865 430609093 754675730 861218186 1509351460 1722436372 2153045465 4306090930 7320354581 8612181860 14640709162 29281418324 36601772905 73203545810 146407091620