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52057637600 = 25521732271657
BaseRepresentation
bin110000011110111000…
…001000001011100000
311222100222121222202212
4300132320020023200
51323103223400400
635525343501252
73522015422123
oct603670101340
9158328558685
1052057637600
11200941a76a1
12a109bb7828
134ba8147977
14273bb103ba
15154a340335
hexc1ee082e0

52057637600 has 144 divisors (see below), whose sum is σ = 128460871728. Its totient is φ = 20599050240.

The previous prime is 52057637591. The next prime is 52057637629. The reversal of 52057637600 is 673675025.

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, 31415972 + ... + 31417628.

It is an arithmetic number, because the mean of its divisors is an integer number (892089387).

Almost surely, 252057637600 is an apocalyptic number.

52057637600 is a gapful number since it is divisible by the number (50) 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 52057637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64230435864).

52057637600 is an abundant number, since it is smaller than the sum of its proper divisors (76403234128).

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

52057637600 is a wasteful number, since it uses less digits than its factorization.

52057637600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 52057637600 in words is "fifty-two billion, fifty-seven million, six hundred thirty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 173 200 227 346 400 454 692 800 865 908 1135 1384 1657 1730 1816 2270 2768 3314 3460 3632 4325 4540 5536 5675 6628 6920 7264 8285 8650 9080 11350 13256 13840 16570 17300 18160 22700 26512 27680 33140 34600 36320 39271 41425 45400 53024 66280 69200 78542 82850 90800 132560 138400 157084 165700 181600 196355 265120 286661 314168 331400 376139 392710 573322 628336 662800 752278 785420 981775 1146644 1256672 1325600 1433305 1504556 1570840 1880695 1963550 2293288 2866610 3009112 3141680 3761390 3927100 4586576 5733220 6018224 6283360 7166525 7522780 7854200 9173152 9403475 11466440 12036448 14333050 15045560 15708400 18806950 22932880 28666100 30091120 31416800 37613900 45865760 57332200 60182240 65072047 75227800 114664400 130144094 150455600 229328800 260288188 300911200 325360235 520576376 650720470 1041152752 1301440940 1626801175 2082305504 2602881880 3253602350 5205763760 6507204700 10411527520 13014409400 26028818800 52057637600