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13421652480 = 29335194179
BaseRepresentation
bin11000111111111111…
…00010101000000000
31021122101012120221000
430133333202220000
5204441420334410
610055452332000
7653413110105
oct143777425000
937571176830
1013421652480
11576819a185
122726a74000
13135b854902
14914768aac
15538490dc0
hex31ffe2a00

13421652480 has 160 divisors (see below), whose sum is σ = 47675073600. Its totient is φ = 3579088896.

The previous prime is 13421652443. The next prime is 13421652499. The reversal of 13421652480 is 8425612431.

It is a happy number.

13421652480 is a `hidden beast` number, since 1 + 3 + 42 + 16 + 524 + 80 = 666.

13421652480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27970 + ... + 166209.

It is an arithmetic number, because the mean of its divisors is an integer number (297969210).

Almost surely, 213421652480 is an apocalyptic number.

13421652480 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 13421652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837536800).

13421652480 is an abundant number, since it is smaller than the sum of its proper divisors (34253421120).

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

13421652480 is an equidigital number, since it uses as much as digits as its factorization.

13421652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194211 (or 194189 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13421652480 in words is "thirteen billion, four hundred twenty-one million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 194179 388358 582537 776716 970895 1165074 1553432 1747611 1941790 2330148 2912685 3106864 3495222 3883580 4660296 5242833 5825370 6213728 6990444 7767160 8738055 9320592 10485666 11650740 12427456 13980888 15534320 17476110 18641184 20971332 23301480 24854912 26214165 27961776 31068640 34952220 37282368 41942664 46602960 49709824 52428330 55923552 62137280 69904440 74564736 83885328 93205920 99419648 104856660 111847104 124274560 139808880 149129472 167770656 186411840 209713320 223694208 248549120 279617760 298258944 335541312 372823680 419426640 447388416 497098240 559235520 671082624 745647360 838853280 894776832 1118471040 1342165248 1491294720 1677706560 2236942080 2684330496 3355413120 4473884160 6710826240 13421652480