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29083003040 = 2557131997459
BaseRepresentation
bin11011000101011110…
…110110100010100000
32210001211210122000202
4123011132312202200
5434030222044130
621205513404332
72046463306220
oct330536664240
983054718022
1029083003040
1111374662703
125777a096a8
1329863ca150
14159c746080
15b53391145
hex6c57b68a0

29083003040 has 96 divisors (see below), whose sum is σ = 84564466560. Its totient is φ = 9204286464.

The previous prime is 29083003021. The next prime is 29083003043. The reversal of 29083003040 is 4030038092.

It is a junction number, because it is equal to n+sod(n) for n = 29083002994 and 29083003012.

It is not an unprimeable number, because it can be changed into a prime (29083003043) by changing a digit.

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, 984170 + ... + 1013289.

It is an arithmetic number, because the mean of its divisors is an integer number (880879860).

Almost surely, 229083003040 is an apocalyptic number.

29083003040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29083003040 is an abundant number, since it is smaller than the sum of its proper divisors (55481463520).

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

29083003040 is a wasteful number, since it uses less digits than its factorization.

29083003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997494 (or 1997486 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 29083003040 in words is "twenty-nine billion, eighty-three million, three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 1997459 3994918 7989836 9987295 13982213 15979672 19974590 25966967 27964426 31959344 39949180 51933934 55928852 63918688 69911065 79898360 103867868 111857704 129834835 139822130 159796720 181768769 207735736 223715408 259669670 279644260 319593440 363537538 415471472 447430816 519339340 559288520 727075076 830942944 908843845 1038678680 1118577040 1454150152 1817687690 2077357360 2237154080 2908300304 3635375380 4154714720 5816600608 7270750760 14541501520 29083003040