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146006506540 = 225232963107123
BaseRepresentation
bin1000011111111010101…
…0100111110000101100
3111221212110000000201101
42013332222213300230
54343010131202130
6151024030052444
713356114554116
oct2077652476054
9457773000641
10146006506540
1156a14959434
122436934a124
13109cb0c848b
1470d12523b6
153be81e21ca
hex21feaa7c2c

146006506540 has 48 divisors (see below), whose sum is σ = 320055660288. Its totient is φ = 55843984064.

The previous prime is 146006506537. The next prime is 146006506553. The reversal of 146006506540 is 45605600641.

It is a self number, because there is not a number n which added to its sum of digits gives 146006506540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309419 + ... + 1416541.

It is an arithmetic number, because the mean of its divisors is an integer number (6667826256).

Almost surely, 2146006506540 is an apocalyptic number.

146006506540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146006506540 is an abundant number, since it is smaller than the sum of its proper divisors (174049153748).

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

146006506540 is a wasteful number, since it uses less digits than its factorization.

146006506540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110118 (or 110116 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 146006506540 in words is "one hundred forty-six billion, six million, five hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 2963 5926 11852 14815 29630 59260 68149 107123 136298 214246 272596 340745 428492 535615 681490 1071230 1362980 2142460 2463829 4927658 9855316 12319145 24638290 49276580 317405449 634810898 1269621796 1587027245 3174054490 6348108980 7300325327 14600650654 29201301308 36501626635 73003253270 146006506540