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2117397725344 = 25118373398873
BaseRepresentation
bin11110110011111110101…
…111010100000010100000
321111102101002101012201201
4132303332233110002200
5234142412304202334
64300415153410544
7305656042463626
oct36637657240240
97442332335651
102117397725344
11746a8a8a74a0
122a2448269a54
13124892590345
14746a8361516
153a1297a3c14
hex1ecfebd40a0

2117397725344 has 96 divisors (see below), whose sum is σ = 4608708560064. Its totient is φ = 949550868480.

The previous prime is 2117397725297. The next prime is 2117397725347. The reversal of 2117397725344 is 4435277937112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2117397725347) 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, 21365892 + ... + 21464764.

It is an arithmetic number, because the mean of its divisors is an integer number (48007380834).

Almost surely, 22117397725344 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 2117397725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304354280032).

2117397725344 is an abundant number, since it is smaller than the sum of its proper divisors (2491310834720).

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

2117397725344 is a wasteful number, since it uses less digits than its factorization.

2117397725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99710 (or 99702 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 55.

The spelling of 2117397725344 in words is "two trillion, one hundred seventeen billion, three hundred ninety-seven million, seven hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 733 913 1328 1466 1826 2656 2932 3652 5864 7304 8063 11728 14608 16126 23456 29216 32252 60839 64504 98873 121678 129008 197746 243356 258016 395492 486712 669229 790984 973424 1087603 1338458 1581968 1946848 2175206 2676916 3163936 4350412 5353832 8206459 8700824 10707664 16412918 17401648 21415328 32825836 34803296 65651672 72473909 90271049 131303344 144947818 180542098 262606688 289895636 361084196 579791272 722168392 797212999 1159582544 1444336784 1594425998 2319165088 2888673568 3188851996 6015334447 6377703992 12030668894 12755407984 24061337788 25510815968 48122675576 66168678917 96245351152 132337357834 192490702304 264674715668 529349431336 1058698862672 2117397725344