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12155205048 = 2337234766931
BaseRepresentation
bin10110101001000000…
…11011010110111000
31011101010011101122120
423110200123112320
5144343213030143
65330052121240
7610134352410
oct132440332670
934333141576
1012155205048
115178329508
122432906220
1311b936692c
1483449d640
154b21cc383
hex2d481b5b8

12155205048 has 128 divisors (see below), whose sum is σ = 37010718720. Its totient is φ = 3251191680.

The previous prime is 12155205043. The next prime is 12155205079. The reversal of 12155205048 is 84050255121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155205043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148143 + ... + 215073.

It is an arithmetic number, because the mean of its divisors is an integer number (289146240).

Almost surely, 212155205048 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 12155205048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505359360).

12155205048 is an abundant number, since it is smaller than the sum of its proper divisors (24855513672).

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

12155205048 is a wasteful number, since it uses less digits than its factorization.

12155205048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67017 (or 67013 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 12155205048 in words is "twelve billion, one hundred fifty-five million, two hundred five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 47 56 69 84 92 94 138 141 161 168 184 188 276 282 322 329 376 483 552 564 644 658 966 987 1081 1128 1288 1316 1932 1974 2162 2632 3243 3864 3948 4324 6486 7567 7896 8648 12972 15134 22701 25944 30268 45402 60536 66931 90804 133862 181608 200793 267724 401586 468517 535448 803172 937034 1405551 1539413 1606344 1874068 2811102 3078826 3145757 3748136 4618239 5622204 6157652 6291514 9236478 9437271 10775891 11244408 12315304 12583028 18472956 18874542 21551782 22020299 25166056 32327673 36945912 37749084 43103564 44040598 64655346 66060897 72352411 75498168 86207128 88081196 129310692 132121794 144704822 176162392 217057233 258621384 264243588 289409644 434114466 506466877 528487176 578819288 868228932 1012933754 1519400631 1736457864 2025867508 3038801262 4051735016 6077602524 12155205048