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12154336034680 = 2357683223728411
BaseRepresentation
bin1011000011011110011011…
…1000011011111101111000
31121000221110120120000001001
42300313212320123331320
53043114040011102210
641503342550534344
72363056530451210
oct260674670337570
947027416500031
1012154336034680
113966696912a94
1214437126673b4
136a21c2397228
143003b7197240
1516126750103a
hexb0de6e1bf78

12154336034680 has 128 divisors (see below), whose sum is σ = 31314860858880. Its totient is φ = 4159093086720.

The previous prime is 12154336034669. The next prime is 12154336034681. The reversal of 12154336034680 is 8643063345121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12154336034680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12154336034681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427789675 + ... + 427818085.

It is an arithmetic number, because the mean of its divisors is an integer number (244647350460).

Almost surely, 212154336034680 is an apocalyptic number.

12154336034680 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 12154336034680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657430429440).

12154336034680 is an abundant number, since it is smaller than the sum of its proper divisors (19160524824200).

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

12154336034680 is a wasteful number, since it uses less digits than its factorization.

12154336034680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31349 (or 31345 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 12154336034680 in words is "twelve trillion, one hundred fifty-four billion, three hundred thirty-six million, thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 683 1366 2237 2732 3415 4474 4781 5464 6830 8948 9562 11185 13660 15659 17896 19124 22370 23905 27320 28411 31318 38248 44740 47810 56822 62636 78295 89480 95620 113644 125272 142055 156590 191240 198877 227288 284110 313180 397754 568220 626360 795508 994385 1136440 1527871 1591016 1988770 3055742 3977540 6111484 7639355 7955080 10695097 12222968 15278710 19404713 21390194 30557420 38809426 42780388 53475485 61114840 63555407 77618852 85560776 97023565 106950970 127110814 135832991 155237704 194047130 213901940 254221628 271665982 317777035 388094260 427803880 444887849 508443256 543331964 635554070 679164955 776188520 889775698 1086663928 1271108140 1358329910 1779551396 2224439245 2542216280 2716659820 3559102792 4448878490 5433319640 8897756980 17795513960 43408342981 86816685962 173633371924 217041714905 303858400867 347266743848 434083429810 607716801734 868166859620 1215433603468 1519292004335 1736333719240 2430867206936 3038584008670 6077168017340 12154336034680