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961432299344 = 2411107313163109
BaseRepresentation
bin11011111110110011101…
…01001010011101010000
310101220121212111020022102
431333121311022131100
5111223003132034334
62013401554455532
7126314121464036
oct15773165123520
93356555436272
10961432299344
11340817517620
121363b98945a8
136c87cb934aa
1434768198556
151a0208a467e
hexdfd9d4a750

961432299344 has 80 divisors (see below), whose sum is σ = 2057675711040. Its totient is φ = 431544622080.

The previous prime is 961432299307. The next prime is 961432299349. The reversal of 961432299344 is 443992234169.

It is a self number, because there is not a number n which added to its sum of digits gives 961432299344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961432299349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5812862 + ... + 5975970.

It is an arithmetic number, because the mean of its divisors is an integer number (25720946388).

Almost surely, 2961432299344 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 961432299344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028837855520).

961432299344 is an abundant number, since it is smaller than the sum of its proper divisors (1096243411696).

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

961432299344 is a wasteful number, since it uses less digits than its factorization.

961432299344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163548 (or 163542 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 56.

The spelling of 961432299344 in words is "nine hundred sixty-one billion, four hundred thirty-two million, two hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 313 428 626 856 1177 1252 1712 2354 2504 3443 4708 5008 6886 9416 13772 18832 27544 33491 55088 66982 133964 163109 267928 326218 368401 535856 652436 736802 1304872 1473604 1794199 2609744 2947208 3588398 5894416 7176796 14353592 17452663 28707184 34905326 51053117 69810652 102106234 139621304 191979293 204212468 279242608 383958586 408424936 561584287 767917172 816849872 1123168574 1535834344 2246337148 3071668688 4492674296 5462683519 8985348592 10925367038 21850734076 43701468152 60089518709 87402936304 120179037418 240358074836 480716149672 961432299344