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12363214106464 = 251325357175541
BaseRepresentation
bin1011001111101000100011…
…1111000010111101100000
31121202220121122111110110221
42303322020333002331200
53110024330302401324
642143325424532424
72414132653664344
oct263721077027540
947686548443427
1012363214106464
113a372340669a1
1214780a7481114
136b8accb15c00
1430a5503d1624
151668e00ba0e4
hexb3e88fc2f60

12363214106464 has 144 divisors (see below), whose sum is σ = 26901091801584. Its totient is φ = 5588557977600.

The previous prime is 12363214106371. The next prime is 12363214106473. The reversal of 12363214106464 is 46460141236321.

It is a self number, because there is not a number n which added to its sum of digits gives 12363214106464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163624534 + ... + 163700074.

It is an arithmetic number, because the mean of its divisors is an integer number (186813137511).

Almost surely, 212363214106464 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 12363214106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450545900792).

12363214106464 is an abundant number, since it is smaller than the sum of its proper divisors (14537877695120).

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

12363214106464 is a wasteful number, since it uses less digits than its factorization.

12363214106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76201 (or 76180 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 12363214106464 in words is "twelve trillion, three hundred sixty-three billion, two hundred fourteen million, one hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 338 416 424 571 676 689 848 1142 1352 1378 1696 2284 2704 2756 4568 5408 5512 7423 8957 9136 11024 14846 17914 18272 22048 29692 30263 35828 59384 60526 71656 75541 96499 118768 121052 143312 151082 192998 237536 242104 286624 302164 385996 393419 484208 604328 771992 786838 968416 982033 1208656 1543984 1573676 1964066 2417312 3087968 3147352 3928132 4003673 5114447 6294704 7856264 8007346 10228894 12589408 12766429 15712528 16014692 20457788 25532858 31425056 32029384 40915576 43133911 51065716 52047749 64058768 81831152 86267822 102131432 104095498 128117536 163662304 172535644 204262864 208190996 345071288 408525728 416381992 560740843 676620737 690142576 832763984 1121481686 1353241474 1380285152 1665527968 2242963372 2286097283 2706482948 4485926744 4572194566 5412965896 7289630959 8971853488 9144389132 10825931792 14579261918 17943706976 18288778264 21651863584 29158523836 29719264679 36577556528 58317047672 59438529358 73155113056 116634095344 118877058716 233268190688 237754117432 386350440827 475508234864 772700881654 951016469728 1545401763308 3090803526616 6181607053232 12363214106464