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146485605984 = 253171937127679
BaseRepresentation
bin1000100001101100111…
…0001111011001100000
3112000002211111210121020
42020123032033121200
54400000303342414
6151143342525440
713404023051364
oct2103316173140
9460084453536
10146485605984
115714033a993
1224481896880
1310a76443283
147138b272a4
153c252cc7a9
hex221b38f660

146485605984 has 192 divisors, whose sum is σ = 440158924800. Its totient is φ = 42360496128.

The previous prime is 146485605971. The next prime is 146485606013. The reversal of 146485605984 is 489506584641.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1083457 + ... + 1211135.

It is an arithmetic number, because the mean of its divisors is an integer number (2292494400).

Almost surely, 2146485605984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146485605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220079462400).

146485605984 is an abundant number, since it is smaller than the sum of its proper divisors (293673318816).

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

146485605984 is a wasteful number, since it uses less digits than its factorization.

146485605984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127765 (or 127757 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 146485605984 in words is "one hundred forty-six billion, four hundred eighty-five million, six hundred five thousand, nine hundred eighty-four".