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2367681023968 = 251323819130211
BaseRepresentation
bin100010011101000100110…
…010010100111111100000
322101100101202120010111121
4202131010302110333200
5302243002320231333
65011410405222024
7333026225433121
oct42350462247740
98340352503447
102367681023968
11833145238137
12322a57701914
1314236b250150
148284c63a048
15418c73cd32d
hex22744c94fe0

2367681023968 has 96 divisors (see below), whose sum is σ = 5239010230272. Its totient is φ = 1045101657600.

The previous prime is 2367681023893. The next prime is 2367681023969. The reversal of 2367681023968 is 8693201867632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2367681023969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78356383 + ... + 78386593.

It is an arithmetic number, because the mean of its divisors is an integer number (54573023232).

Almost surely, 22367681023968 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 2367681023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619505115136).

2367681023968 is an abundant number, since it is smaller than the sum of its proper divisors (2871329206304).

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

2367681023968 is a wasteful number, since it uses less digits than its factorization.

2367681023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38448 (or 38440 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 2367681023968 in words is "two trillion, three hundred sixty-seven billion, six hundred eighty-one million, twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 8191 9568 16382 30211 32764 60422 65528 106483 120844 131056 188393 212966 241688 262112 376786 392743 425932 483376 694853 753572 785486 851864 966752 1389706 1507144 1570972 1703728 2449109 2779412 3014288 3141944 3407456 4898218 5558824 6028576 6283888 9033089 9796436 11117648 12567776 18066178 19592872 22235296 36132356 39185744 72264712 78371488 144529424 247458301 289058848 494916602 989833204 1979666408 3216957913 3959332816 5691540923 6433915826 7918665632 11383081846 12867831652 22766163692 25735663304 45532327384 51471326608 73990031999 91064654768 102942653216 147980063998 182129309536 295960127996 591920255992 1183840511984 2367681023968