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145896105280 = 2651726819137
BaseRepresentation
bin1000011111100000010…
…1011110010101000000
3111221120202021001122211
42013320011132111000
54342243400332110
6151005043511504
713353304301422
oct2077005362500
9457522231584
10145896105280
1156968603322
1224338388594
13109b12825a3
1470c0714812
153bdd68598a
hex21f815e540

145896105280 has 56 divisors (see below), whose sum is σ = 367851296808. Its totient is φ = 54925590528.

The previous prime is 145896105269. The next prime is 145896105301. The reversal of 145896105280 is 82501698541.

It can be written as a sum of positive squares in 4 ways, for example, as 7291793664 + 138604311616 = 85392^2 + 372296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13404129 + ... + 13415008.

Almost surely, 2145896105280 is an apocalyptic number.

145896105280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145896105280 is an abundant number, since it is smaller than the sum of its proper divisors (221955191528).

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

145896105280 is a wasteful number, since it uses less digits than its factorization.

145896105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26819171 (or 26819161 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The spelling of 145896105280 in words is "one hundred forty-five billion, eight hundred ninety-six million, one hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 26819137 53638274 107276548 134095685 214553096 268191370 429106192 455925329 536382740 858212384 911850658 1072765480 1716424768 1823701316 2145530960 2279626645 3647402632 4291061920 4559253290 7294805264 8582123840 9118506580 14589610528 18237013160 29179221056 36474026320 72948052640 145896105280