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6410052343734 = 23131943211476719
BaseRepresentation
bin101110101000111010011…
…1001001001011110110110
3211200210110120100220010020
41131101310321021132312
51320010241344444414
621344423135510010
71231053033632604
oct135216471113666
924623416326106
106410052343734
112051540490446
12876389688306
13376608484710
1418236905c874
15b1b1812d7a9
hex5d474e497b6

6410052343734 has 128 divisors (see below), whose sum is σ = 14941396377600. Its totient is φ = 1816409992320.

The previous prime is 6410052343711. The next prime is 6410052343759. The reversal of 6410052343734 is 4373432500146.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13207827 + ... + 13684545.

It is an arithmetic number, because the mean of its divisors is an integer number (116729659200).

Almost surely, 26410052343734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6410052343734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470698188800).

6410052343734 is an abundant number, since it is smaller than the sum of its proper divisors (8531344033866).

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

6410052343734 is a wasteful number, since it uses less digits than its factorization.

6410052343734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477010.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 6410052343734 in words is "six trillion, four hundred ten billion, fifty-two million, three hundred forty-three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 211 247 258 422 494 559 633 741 817 1118 1266 1482 1634 1677 2451 2743 3354 4009 4902 5486 8018 8229 9073 10621 12027 16458 18146 21242 24054 27219 31863 52117 54438 63726 104234 117949 156351 172387 235898 312702 344774 353847 476719 517161 707694 953438 1034322 1430157 2241031 2860314 4482062 6197347 6723093 9057661 12394694 13446186 18115322 18592041 20498917 27172983 37184082 40997834 54345966 61496751 100587709 117749593 122993502 201175418 235499186 266485921 301763127 353248779 389479423 532971842 603526254 706497558 778958846 799457763 1168438269 1307640217 1598915526 1911166471 2336876538 2615280434 3822332942 3922920651 4325271487 5063232499 5733499413 7845841302 8650542974 10126464998 11466998826 12975814461 15189697497 24845164123 25951628922 30379394994 49690328246 56228529331 74535492369 82180158253 112457058662 149070984738 164360316506 168685587993 246540474759 337371175986 493080949518 1068342057289 2136684114578 3205026171867 6410052343734