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29643013248 = 2731925715809
BaseRepresentation
bin11011100110110111…
…000111110010000000
32211111212120002121120
4123212313013302000
5441202102410443
621341240352240
72066403312102
oct334667076200
984455502546
1029643013248
1111631787662
1258b3475680
132a45433a34
141612c7d572
15b87610083
hex6e6dc7c80

29643013248 has 128 divisors (see below), whose sum is σ = 83211192000. Its totient is φ = 9323937792.

The previous prime is 29643013241. The next prime is 29643013273. The reversal of 29643013248 is 84231034692.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×296430132482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29643013241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867168 + ... + 1882976.

Almost surely, 229643013248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29643013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41605596000).

29643013248 is an abundant number, since it is smaller than the sum of its proper divisors (53568178752).

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

29643013248 is a wasteful number, since it uses less digits than its factorization.

29643013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16102 (or 16090 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 29643013248 in words is "twenty-nine billion, six hundred forty-three million, thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 257 304 384 456 514 608 771 912 1028 1216 1542 1824 2056 2432 3084 3648 4112 4883 6168 7296 8224 9766 12336 14649 15809 16448 19532 24672 29298 31618 32896 39064 47427 49344 58596 63236 78128 94854 98688 117192 126472 156256 189708 234384 252944 300371 312512 379416 468768 505888 600742 625024 758832 901113 937536 1011776 1201484 1517664 1802226 1875072 2023552 2402968 3035328 3604452 4062913 4805936 6070656 7208904 8125826 9611872 12188739 14417808 16251652 19223744 24377478 28835616 32503304 38447488 48754956 57671232 65006608 77195347 97509912 115342464 130013216 154390694 195019824 231586041 260026432 308781388 390039648 463172082 520052864 617562776 780079296 926344164 1235125552 1560158592 1852688328 2470251104 3705376656 4940502208 7410753312 9881004416 14821506624 29643013248