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11742245578112 = 277129531011749
BaseRepresentation
bin1010101011011111010001…
…1000000110010110000000
31112120112210021122210121112
42222313310120012112000
53014341104331444422
640550151350142452
72321230535406530
oct252676430062600
945515707583545
1011742245578112
113817949566725
121397886351a28
1367239ac4269a
142c848338b4c0
15155699469ee2
hexaadf4606580

11742245578112 has 64 divisors (see below), whose sum is σ = 26736667380000. Its totient is φ = 5031997476864.

The previous prime is 11742245578081. The next prime is 11742245578117. The reversal of 11742245578112 is 21187554224711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742245578117) 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 7 ways as a sum of consecutive naturals, for example, 11100014 + ... + 12111762.

Almost surely, 211742245578112 is an apocalyptic number.

It is an amenable number.

11742245578112 is an abundant number, since it is smaller than the sum of its proper divisors (14994421801888).

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

11742245578112 is a wasteful number, since it uses less digits than its factorization.

11742245578112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024723 (or 1024711 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 50.

The spelling of 11742245578112 in words is "eleven trillion, seven hundred forty-two billion, two hundred forty-five million, five hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 12953 25906 51812 90671 103624 181342 207248 362684 414496 725368 828992 1011749 1450736 1657984 2023498 2901472 4046996 5802944 7082243 8093992 11605888 14164486 16187984 28328972 32375968 56657944 64751936 113315888 129503872 226631776 453263552 906527104 13105184797 26210369594 52420739188 91736293579 104841478376 183472587158 209682956752 366945174316 419365913504 733890348632 838731827008 1467780697264 1677463654016 2935561394528 5871122789056 11742245578112