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29331683328 = 211322721031
BaseRepresentation
bin11011010100010011…
…011111100000000000
32210201011201220020210
4123110103133200000
5440032402331303
621250315434120
72055603123513
oct332423374000
983634656223
1029331683328
1111491a74902
125827155940
1329c5a99c4c
1415c379ad7a
15b6a114203
hex6d44df800

29331683328 has 96 divisors (see below), whose sum is σ = 78546948480. Its totient is φ = 9733693440.

The previous prime is 29331683309. The next prime is 29331683357. The reversal of 29331683328 is 82338613392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1384173 + ... + 1405203.

It is an arithmetic number, because the mean of its divisors is an integer number (818197380).

Almost surely, 229331683328 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 29331683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39273474240).

29331683328 is an abundant number, since it is smaller than the sum of its proper divisors (49215265152).

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

29331683328 is a wasteful number, since it uses less digits than its factorization.

29331683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21263 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The spelling of 29331683328 in words is "twenty-nine billion, three hundred thirty-one million, six hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 512 681 768 908 1024 1362 1536 1816 2048 2724 3072 3632 5448 6144 7264 10896 14528 21031 21792 29056 42062 43584 58112 63093 84124 87168 116224 126186 168248 174336 232448 252372 336496 348672 464896 504744 672992 697344 1009488 1345984 1394688 2018976 2691968 4037952 4774037 5383936 8075904 9548074 10767872 14322111 16151808 19096148 21535744 28644222 32303616 38192296 43071488 57288444 64607232 76384592 114576888 129214464 152769184 229153776 305538368 458307552 611076736 916615104 1222153472 1833230208 2444306944 3666460416 4888613888 7332920832 9777227776 14665841664 29331683328