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12162514940 = 22537101162731
BaseRepresentation
bin10110101001111000…
…10011111111111100
31011101121220202221022
423110330103333330
5144402100434230
65330512523312
7610253446142
oct132474237774
934347822838
1012162514940
115181471544
122435250538
1311baa25c04
14835443592
154b2b731e5
hex2d4f13ffc

12162514940 has 48 divisors (see below), whose sum is σ = 26491467744. Its totient is φ = 4686624000.

The previous prime is 12162514883. The next prime is 12162514957. The reversal of 12162514940 is 4941526121.

It is a self number, because there is not a number n which added to its sum of digits gives 12162514940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6626 + ... + 156105.

It is an arithmetic number, because the mean of its divisors is an integer number (551905578).

Almost surely, 212162514940 is an apocalyptic number.

12162514940 is a gapful number since it is divisible by the number (10) 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 12162514940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245733872).

12162514940 is an abundant number, since it is smaller than the sum of its proper divisors (14328952804).

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

12162514940 is a wasteful number, since it uses less digits than its factorization.

12162514940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162878 (or 162876 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 12162514940 in words is "twelve billion, one hundred sixty-two million, five hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 37370 74740 162731 325462 650924 813655 1627310 3254620 6021047 12042094 16435831 24084188 30105235 32871662 60210470 65743324 82179155 120420940 164358310 328716620 608125747 1216251494 2432502988 3040628735 6081257470 12162514940