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10320315031664 = 24111071637334771
BaseRepresentation
bin1001011000101110001010…
…1101100010000001110000
31100112121112111110211000122
42112023202231202001300
52323042001122003124
633541030503505412
72113422012240341
oct226134255420160
940477474424018
1010320315031664
113319903870290
1211a8190758268
1359b2809c3711
142797123200c8
1512d6c5d4a75e
hex962e2b62070

10320315031664 has 80 divisors (see below), whose sum is σ = 22030772190336. Its totient is φ = 4644357945600.

The previous prime is 10320315031661. The next prime is 10320315031673. The reversal of 10320315031664 is 46613051302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320315031661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30660599 + ... + 30995369.

Almost surely, 210320315031664 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 10320315031664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015386095168).

10320315031664 is an abundant number, since it is smaller than the sum of its proper divisors (11710457158672).

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

10320315031664 is a wasteful number, since it uses less digits than its factorization.

10320315031664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336534 (or 336528 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 10320315031664 its reverse (46613051302301), we get a palindrome (56933366333965).

The spelling of 10320315031664 in words is "ten trillion, three hundred twenty billion, three hundred fifteen million, thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1637 1712 2354 3274 4708 6548 9416 13096 18007 18832 26192 36014 72028 144056 175159 288112 334771 350318 669542 700636 1339084 1401272 1926749 2678168 2802544 3682481 3853498 5356336 7364962 7706996 14729924 15413992 29459848 30827984 35820497 58919696 71640994 143281988 286563976 394025467 548020127 573127952 788050934 1096040254 1576101868 2192080508 3152203736 4384161016 6028221397 6304407472 8768322032 12056442794 24112885588 48225771176 58638153589 96451542352 117276307178 234552614356 469105228712 645019689479 938210457424 1290039378958 2580078757916 5160157515832 10320315031664