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256106243160 = 233256883103357
BaseRepresentation
bin1110111010000100011…
…1110010010001011000
3220111001111002011000100
43232201013302101120
513144001144240120
6313353101335400
724334360101645
oct3564107622130
9814044064010
10256106243160
11996833300a9
1241775567560
131b1c6176021
14c577798dcc
1569dde3b490
hex3ba11f2458

256106243160 has 96 divisors (see below), whose sum is σ = 832474272240. Its totient is φ = 68284415232.

The previous prime is 256106243087. The next prime is 256106243171. The reversal of 256106243160 is 61342601652.

256106243160 is a `hidden beast` number, since 2 + 5 + 6 + 10 + 624 + 3 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2426202 + ... + 2529558.

Almost surely, 2256106243160 is an apocalyptic number.

256106243160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256106243160 is an abundant number, since it is smaller than the sum of its proper divisors (576368029080).

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

256106243160 is a wasteful number, since it uses less digits than its factorization.

256106243160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110257 (or 110250 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 256106243160 in words is "two hundred fifty-six billion, one hundred six million, two hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6883 13766 20649 27532 34415 41298 55064 61947 68830 82596 103245 103357 123894 137660 165192 206490 206714 247788 275320 309735 310071 412980 413428 495576 516785 619470 620142 825960 826856 930213 1033570 1238940 1240284 1550355 1860426 2067140 2477880 2480568 3100710 3720852 4134280 4651065 6201420 7441704 9302130 12402840 18604260 37208520 711406231 1422812462 2134218693 2845624924 3557031155 4268437386 5691249848 6402656079 7114062310 8536874772 10671093465 12805312158 14228124620 17073749544 21342186930 25610624316 28456249240 32013280395 42684373860 51221248632 64026560790 85368747720 128053121580 256106243160