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5657303760 = 2435297910289
BaseRepresentation
bin1010100010011001…
…11001101011010000
3112121021012210210220
411101030321223100
543041232210020
62333211353040
7260123200653
oct52114715320
915537183726
105657303760
112443445059
12111a752780
136c209c124
143b94c389a
152319e3240
hex151339ad0

5657303760 has 160 divisors (see below), whose sum is σ = 18373824000. Its totient is φ = 1438015488.

The previous prime is 5657303759. The next prime is 5657303783. The reversal of 5657303760 is 673037565.

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, 544696 + ... + 554984.

It is an arithmetic number, because the mean of its divisors is an integer number (114836400).

Almost surely, 25657303760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657303760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186912000).

5657303760 is an abundant number, since it is smaller than the sum of its proper divisors (12716520240).

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

5657303760 is a wasteful number, since it uses less digits than its factorization.

5657303760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 42.

The square root of 5657303760 is about 75215.0500897261. The cubic root of 5657303760 is about 1781.8446306765.

The spelling of 5657303760 in words is "five billion, six hundred fifty-seven million, three hundred three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 79 80 87 116 120 145 158 174 232 237 240 290 316 348 395 435 464 474 580 632 696 790 870 948 1160 1185 1264 1392 1580 1740 1896 2291 2320 2370 3160 3480 3792 4582 4740 6320 6873 6960 9164 9480 10289 11455 13746 18328 18960 20578 22910 27492 30867 34365 36656 41156 45820 51445 54984 61734 68730 82312 91640 102890 109968 123468 137460 154335 164624 183280 205780 246936 274920 298381 308670 411560 493872 549840 596762 617340 812831 823120 895143 1193524 1234680 1491905 1625662 1790286 2387048 2438493 2469360 2983810 3251324 3580572 4064155 4475715 4774096 4876986 5967620 6502648 7161144 8128310 8951430 9753972 11935240 12192465 13005296 14322288 16256620 17902860 19507944 23572099 23870480 24384930 32513240 35805720 39015888 47144198 48769860 65026480 70716297 71611440 94288396 97539720 117860495 141432594 188576792 195079440 235720990 282865188 353581485 377153584 471441980 565730376 707162970 942883960 1131460752 1414325940 1885767920 2828651880 5657303760