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123072231616 = 2623251333103
BaseRepresentation
bin111001010011110101…
…1010011100011000000
3102202200010010010222121
41302213223103203000
54004022442402431
6132312201014024
711614562464615
oct1624753234300
9382603103877
10123072231616
1148216080214
121ba28784314
13b7b483c0b9
145d5739250c
153304a66611
hex1ca7ad38c0

123072231616 has 56 divisors (see below), whose sum is σ = 255855849984. Its totient is φ = 58625952000.

The previous prime is 123072231577. The next prime is 123072231619. The reversal of 123072231616 is 616132270321.

It is not an unprimeable number, because it can be changed into a prime (123072231619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202921 + ... + 536023.

It is an arithmetic number, because the mean of its divisors is an integer number (4568854464).

Almost surely, 2123072231616 is an apocalyptic number.

123072231616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123072231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127927924992).

123072231616 is an abundant number, since it is smaller than the sum of its proper divisors (132783618368).

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

123072231616 is a wasteful number, since it uses less digits than its factorization.

123072231616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333389 (or 333379 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 123072231616 in words is "one hundred twenty-three billion, seventy-two million, two hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 251 368 502 736 1004 1472 2008 4016 5773 8032 11546 16064 23092 46184 92368 184736 333103 369472 666206 1332412 2664824 5329648 7661369 10659296 15322738 21318592 30645476 61290952 83608853 122581904 167217706 245163808 334435412 490327616 668870824 1337741648 1923003619 2675483296 3846007238 5350966592 7692014476 15384028952 30768057904 61536115808 123072231616