Search a number
-
+
12252341435160 = 23351071811526909
BaseRepresentation
bin1011001001001011100001…
…1101010111101100011000
31121101022102202000012010110
42302102320131113230120
53101220243401411120
642020351542444320
72403126304556601
oct262227035275430
947338382005113
1012252341435160
1139a420935aa32
12145a7044336a0
136ab5108a0768
14305033366da8
15163aa15932e0
hexb24b8757b18

12252341435160 has 128 divisors (see below), whose sum is σ = 37121104569600. Its totient is φ = 3234962204160.

The previous prime is 12252341435137. The next prime is 12252341435183. The reversal of 12252341435160 is 6153414325221.

12252341435160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12252341435137) and next prime (12252341435183).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22989786 + ... + 23516694.

It is an arithmetic number, because the mean of its divisors is an integer number (290008629450).

Almost surely, 212252341435160 is an apocalyptic number.

12252341435160 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 12252341435160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18560552284800).

12252341435160 is an abundant number, since it is smaller than the sum of its proper divisors (24868763134440).

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

12252341435160 is a wasteful number, since it uses less digits than its factorization.

12252341435160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528841 (or 528837 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 12252341435160 in words is "twelve trillion, two hundred fifty-two billion, three hundred forty-one million, four hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 1811 2140 2568 3210 3622 4280 5433 6420 7244 9055 10866 12840 14488 18110 21732 27165 36220 43464 54330 72440 108660 193777 217320 387554 526909 581331 775108 968885 1053818 1162662 1550216 1580727 1937770 2107636 2325324 2634545 2906655 3161454 3875540 4215272 4650648 5269090 5813310 6322908 7751080 7903635 10538180 11626620 12645816 15807270 21076360 23253240 31614540 56379263 63229080 112758526 169137789 225517052 281896315 338275578 451034104 563792630 676551156 845688945 954232199 1127585260 1353102312 1691377890 1908464398 2255170520 2862696597 3382755780 3816928796 4771160995 5725393194 6765511560 7633857592 9542321990 11450786388 14313482985 19084643980 22901572776 28626965970 38169287960 57253931940 102102845293 114507863880 204205690586 306308535879 408411381172 510514226465 612617071758 816822762344 1021028452930 1225234143516 1531542679395 2042056905860 2450468287032 3063085358790 4084113811720 6126170717580 12252341435160