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12191935480 = 2354115747351
BaseRepresentation
bin10110101101011001…
…00010101111111000
31011110200021111022221
423112230202233320
5144432113413410
65333443253424
7611061512254
oct132654425770
934420244287
1012191935480
11519703663a
12244307a274
1311c3b5720a
14839301264
154b55354da
hex2d6b22bf8

12191935480 has 64 divisors (see below), whose sum is σ = 28280508480. Its totient is φ = 4727424000.

The previous prime is 12191935477. The next prime is 12191935499. The reversal of 12191935480 is 8453919121.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 233805 + ... + 281155.

It is an arithmetic number, because the mean of its divisors is an integer number (441882945).

Almost surely, 212191935480 is an apocalyptic number.

12191935480 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 12191935480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140254240).

12191935480 is an abundant number, since it is smaller than the sum of its proper divisors (16088573000).

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

12191935480 is a wasteful number, since it uses less digits than its factorization.

12191935480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47560 (or 47556 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 12191935480 in words is "twelve billion, one hundred ninety-one million, nine hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 157 164 205 314 328 410 628 785 820 1256 1570 1640 3140 6280 6437 12874 25748 32185 47351 51496 64370 94702 128740 189404 236755 257480 378808 473510 947020 1894040 1941391 3882782 7434107 7765564 9706955 14868214 15531128 19413910 29736428 37170535 38827820 59472856 74341070 77655640 148682140 297364280 304798387 609596774 1219193548 1523991935 2438387096 3047983870 6095967740 12191935480