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12148864699400 = 23521113424785479
BaseRepresentation
bin1011000011001010000011…
…0000111100110000001000
31121000102100021021101000122
42300302200300330300020
53043021333330340100
641501040021122412
72362504123044332
oct260624060746010
947012307241018
1012148864699400
1139643394478a0
121442646259408
136a182c9ab830
14300018682452
15161046ee4985
hexb0ca0c3cc08

12148864699400 has 96 divisors (see below), whose sum is σ = 33184241697600. Its totient is φ = 4077940588800.

The previous prime is 12148864699379. The next prime is 12148864699417. The reversal of 12148864699400 is 499646884121.

It is a super-3 number, since 3×121488646994003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212364140 + ... + 212421339.

It is an arithmetic number, because the mean of its divisors is an integer number (345669184350).

Almost surely, 212148864699400 is an apocalyptic number.

12148864699400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12148864699400 is an abundant number, since it is smaller than the sum of its proper divisors (21035376998200).

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

12148864699400 is a wasteful number, since it uses less digits than its factorization.

12148864699400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424785519 (or 424785510 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 62.

The spelling of 12148864699400 in words is "twelve trillion, one hundred forty-eight billion, eight hundred sixty-four million, six hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 7150 14300 28600 424785479 849570958 1699141916 2123927395 3398283832 4247854790 4672640269 5522211227 8495709580 9345280538 10619636975 11044422454 16991419160 18690561076 21239273950 22088844908 23363201345 27611056135 37381122152 42478547900 44177689816 46726402690 55222112270 60744323497 84957095800 93452805380 110444224540 116816006725 121488646994 138055280675 186905610760 220888449080 233632013450 242977293988 276110561350 303721617485 467264026900 485954587976 552221122700 607443234970 934528053800 1104442245400 1214886469940 1518608087425 2429772939880 3037216174850 6074432349700 12148864699400