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42647056760 = 23571164721401
BaseRepresentation
bin100111101101111101…
…100111000101111000
311002002010221221201202
4213231331213011320
51144320121304020
631331454233332
73036556000310
oct475575470570
9132063857652
1042647056760
11170a5173a60
1283224b5848
1340385c0039
1420c7d7c440
1511990aee75
hex9edf67178

42647056760 has 128 divisors (see below), whose sum is σ = 119823805440. Its totient is φ = 13271424000.

The previous prime is 42647056759. The next prime is 42647056799. The reversal of 42647056760 is 6765074624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982060 + ... + 2003460.

It is an arithmetic number, because the mean of its divisors is an integer number (936123480).

Almost surely, 242647056760 is an apocalyptic number.

42647056760 is a gapful number since it is divisible by the number (40) 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 42647056760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911902720).

42647056760 is an abundant number, since it is smaller than the sum of its proper divisors (77176748680).

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

42647056760 is a wasteful number, since it uses less digits than its factorization.

42647056760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22077 (or 22073 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 42647056760 in words is "forty-two billion, six hundred forty-seven million, fifty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 647 770 1294 1540 2588 3080 3235 4529 5176 6470 7117 9058 12940 14234 18116 21401 22645 25880 28468 35585 36232 42802 45290 49819 56936 71170 85604 90580 99638 107005 142340 149807 171208 181160 199276 214010 235411 249095 284680 299614 398552 428020 470822 498190 599228 749035 856040 941644 996380 1177055 1198456 1498070 1647877 1883288 1992760 2354110 2996140 3295754 4708220 5992280 6591508 8239385 9416440 13183016 13846447 16478770 27692894 32957540 55385788 65915080 69232235 96925129 110771576 138464470 152310917 193850258 276928940 304621834 387700516 484625645 553857880 609243668 761554585 775401032 969251290 1066176419 1218487336 1523109170 1938502580 2132352838 3046218340 3877005160 4264705676 5330882095 6092436680 8529411352 10661764190 21323528380 42647056760