Search a number
-
+
12155145216 = 210310736979
BaseRepresentation
bin10110101001000000…
…01100110000000000
31011101010001100120120
423110200030300000
5144343204121331
65330050540240
7610134013104
oct132440146000
934333040516
1012155145216
115178298565
122432897680
1311b9345626
14834485904
154b21b9796
hex2d480cc00

12155145216 has 88 divisors (see below), whose sum is σ = 32701561920. Its totient is φ = 4013740032.

The previous prime is 12155145203. The next prime is 12155145251. The reversal of 12155145216 is 61254155121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310215 + ... + 347193.

Almost surely, 212155145216 is an apocalyptic number.

12155145216 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 12155145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350780960).

12155145216 is an abundant number, since it is smaller than the sum of its proper divisors (20546416704).

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

12155145216 is a wasteful number, since it uses less digits than its factorization.

12155145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37109 (or 37091 counting only the distinct ones).

The product of its digits is 12000, while the sum is 33.

The spelling of 12155145216 in words is "twelve billion, one hundred fifty-five million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2568 3072 3424 5136 6848 10272 13696 20544 27392 36979 41088 54784 73958 82176 109568 110937 147916 164352 221874 295832 328704 443748 591664 887496 1183328 1774992 2366656 3549984 3956753 4733312 7099968 7913506 9466624 11870259 14199936 15827012 18933248 23740518 28399872 31654024 37866496 47481036 56799744 63308048 94962072 113599488 126616096 189924144 253232192 379848288 506464384 759696576 1012928768 1519393152 2025857536 3038786304 4051715072 6077572608 12155145216