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29864656896 = 2153461659
BaseRepresentation
bin11011110100000100…
…101000000000000000
32212002022121202112120
4123310010220000000
5442130323010041
621415235124240
72105034252354
oct336404500000
985068552476
1029864656896
1111735902828
125955743680
132a7c328619
141634497464
15b9bce2366
hex6f4128000

29864656896 has 128 divisors (see below), whose sum is σ = 79931728800. Its totient is φ = 9918218240.

The previous prime is 29864656853. The next prime is 29864656919. The reversal of 29864656896 is 69865646892.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29864656896.

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, 45317815 + ... + 45318473.

Almost surely, 229864656896 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 29864656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39965864400).

29864656896 is an abundant number, since it is smaller than the sum of its proper divisors (50067071904).

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

29864656896 is an frugal number, since it uses more digits than its factorization.

29864656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1125 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 69.

The spelling of 29864656896 in words is "twenty-nine billion, eight hundred sixty-four million, six hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 461 512 659 768 922 1024 1318 1383 1536 1844 1977 2048 2636 2766 3072 3688 3954 4096 5272 5532 6144 7376 7908 8192 10544 11064 12288 14752 15816 16384 21088 22128 24576 29504 31632 32768 42176 44256 49152 59008 63264 84352 88512 98304 118016 126528 168704 177024 236032 253056 303799 337408 354048 472064 506112 607598 674816 708096 911397 944128 1012224 1215196 1349632 1416192 1822794 1888256 2024448 2430392 2699264 2832384 3645588 3776512 4048896 4860784 5398528 5664768 7291176 7553024 8097792 9721568 10797056 11329536 14582352 15106048 16195584 19443136 21594112 22659072 29164704 32391168 38886272 45318144 58329408 64782336 77772544 116658816 155545088 233317632 311090176 466635264 622180352 933270528 1244360704 1866541056 2488721408 3733082112 4977442816 7466164224 9954885632 14932328448 29864656896