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51874528128 = 2732926917317
BaseRepresentation
bin110000010011111101…
…100111101110000000
311221220020002001210120
4300103331213232000
51322214334400003
635455243100240
73514333133223
oct602375475600
9157806061716
1051874528128
111aaaa900855
12a078811680
134b79225677
1427216875ba
151539220853
hexc13f67b80

51874528128 has 128 divisors (see below), whose sum is σ = 143081316000. Its totient is φ = 16632225792.

The previous prime is 51874528117. The next prime is 51874528151. The reversal of 51874528128 is 82182547815.

51874528128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 2986926 + ... + 3004242.

Almost surely, 251874528128 is an apocalyptic number.

51874528128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51874528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540658000).

51874528128 is an abundant number, since it is smaller than the sum of its proper divisors (91206787872).

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

51874528128 is a wasteful number, since it uses less digits than its factorization.

51874528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17620 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 51.

The spelling of 51874528128 in words is "fifty-one billion, eight hundred seventy-four million, five hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 269 348 384 464 538 696 807 928 1076 1392 1614 1856 2152 2784 3228 3712 4304 5568 6456 7801 8608 11136 12912 15602 17216 17317 23403 25824 31204 34432 34634 46806 51648 51951 62408 69268 93612 103296 103902 124816 138536 187224 207804 249632 277072 374448 415608 499264 502193 554144 748896 831216 998528 1004386 1108288 1497792 1506579 1662432 2008772 2216576 2995584 3013158 3324864 4017544 4658273 6026316 6649728 8035088 9316546 12052632 13974819 16070176 18633092 24105264 27949638 32140352 37266184 48210528 55899276 64280704 74532368 96421056 111798552 135089917 149064736 192842112 223597104 270179834 298129472 405269751 447194208 540359668 596258944 810539502 894388416 1080719336 1621079004 1788776832 2161438672 3242158008 4322877344 6484316016 8645754688 12968632032 17291509376 25937264064 51874528128