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12150019452 = 22319292517321
BaseRepresentation
bin10110101000011001…
…01001010101111100
31011100202101221100110
423110030221111330
5144340401110302
65325345030020
7610042314144
oct132414512574
934322357313
1012150019452
11517540749a
122431025310
1311b826c52c
1483390d924
154b1a05b6c
hex2d432957c

12150019452 has 96 divisors (see below), whose sum is σ = 30998419200. Its totient is φ = 3689280000.

The previous prime is 12150019439. The next prime is 12150019487. The reversal of 12150019452 is 25491005121.

12150019452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1655952 + ... + 1663272.

It is an arithmetic number, because the mean of its divisors is an integer number (322900200).

Almost surely, 212150019452 is an apocalyptic number.

12150019452 is a gapful number since it is divisible by the number (12) 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 12150019452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499209600).

12150019452 is an abundant number, since it is smaller than the sum of its proper divisors (18848399748).

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

12150019452 is a wasteful number, since it uses less digits than its factorization.

12150019452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 12150019452 in words is "twelve billion, one hundred fifty million, nineteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 251 348 502 551 753 1004 1102 1506 1653 2204 3012 3306 4769 6612 7279 7321 9538 14307 14558 14642 19076 21837 21963 28614 29116 29284 43674 43926 57228 87348 87852 138301 139099 212309 276602 278198 414903 417297 424618 553204 556396 636927 829806 834594 849236 1273854 1659612 1669188 1837571 2547708 3675142 4033871 5512713 7350284 8067742 11025426 12101613 16135484 22050852 24203226 34913849 48406452 53289559 69827698 104741547 106579118 139655396 159868677 209483094 213158236 319737354 418966188 639474708 1012501621 2025003242 3037504863 4050006484 6075009726 12150019452