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20768784384 = 2153211271
BaseRepresentation
bin10011010101111010…
…101000000000000000
31222121102010120011110
4103111322220000000
5320013302100014
613312511043320
71333445516535
oct232572500000
958542116143
1020768784384
11889848a117
124037510540
131c5ca4b43a
141010446d8c
158184c8d59
hex4d5ea8000

20768784384 has 64 divisors (see below), whose sum is σ = 55382842080. Its totient is φ = 6922895360.

The previous prime is 20768784371. The next prime is 20768784401. The reversal of 20768784384 is 48348786702.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7332 + ... + 203939.

Almost surely, 220768784384 is an apocalyptic number.

20768784384 is a gapful number since it is divisible by the number (24) 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 20768784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27691421040).

20768784384 is an abundant number, since it is smaller than the sum of its proper divisors (34614057696).

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

20768784384 is an frugal number, since it uses more digits than its factorization.

20768784384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211304 (or 211276 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 20768784384 in words is "twenty billion, seven hundred sixty-eight million, seven hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 98304 211271 422542 633813 845084 1267626 1690168 2535252 3380336 5070504 6760672 10141008 13521344 20282016 27042688 40564032 54085376 81128064 108170752 162256128 216341504 324512256 432683008 649024512 865366016 1298049024 1730732032 2596098048 3461464064 5192196096 6922928128 10384392192 20768784384