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63213311465346 = 23729431303926293
BaseRepresentation
bin11100101111101111111101…
…11110011001011110000010
322021211010121100210222111210
432113313332332121132002
531241141330213342341
6342235443330550550
716213003533635430
oct1627677676313602
9267733540728453
1063213311465346
1119161684399a09
12710b1b6138456
132936cb3482873
14118777d595d50
157494cb1e3c16
hex397dfef99782

63213311465346 has 128 divisors (see below), whose sum is σ = 153063488286720. Its totient is φ = 17019526180608.

The previous prime is 63213311465327. The next prime is 63213311465351. The reversal of 63213311465346 is 64356411331236.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 63213311465295 and 63213311465304.

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, 67780176 + ... + 68706468.

It is an arithmetic number, because the mean of its divisors is an integer number (1195808502240).

Almost surely, 263213311465346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63213311465346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76531744143360).

63213311465346 is an abundant number, since it is smaller than the sum of its proper divisors (89850176821374).

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

63213311465346 is a wasteful number, since it uses less digits than its factorization.

63213311465346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927680.

The product of its digits is 2799360, while the sum is 48.

The spelling of 63213311465346 in words is "sixty-three trillion, two hundred thirteen billion, three hundred eleven million, four hundred sixty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 29 42 43 58 86 87 129 174 203 258 301 406 602 609 903 1218 1247 1303 1806 2494 2606 3741 3909 7482 7818 8729 9121 17458 18242 26187 27363 37787 52374 54726 56029 75574 112058 113361 168087 226722 264509 336174 392203 529018 784406 793527 926293 1176609 1587054 1624841 1852586 2353218 2778879 3249682 4874523 5557758 6484051 9749046 11373887 12968102 19452153 22747774 26862497 34121661 38904306 39830599 53724994 68243322 79661198 80587491 119491797 161174982 188037479 238983594 278814193 376074958 557628386 564112437 836442579 1128224874 1155087371 1206959779 1672885158 2310174742 2413919558 3465262113 3620879337 6930524226 7241758674 8085611597 8448718453 16171223194 16897436906 24256834791 25346155359 35001833591 48513669582 50692310718 51899270497 70003667182 103798540994 105005500773 155697811491 210011001546 245012835137 311395622982 363294893479 490025670274 726589786958 735038505411 1089884680437 1470077010822 1505078844413 2179769360874 3010157688826 4515236533239 9030473066478 10535551910891 21071103821782 31606655732673 63213311465346