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20931769728 = 273242143159
BaseRepresentation
bin10011011111101000…
…010111010110000000
32000000202211002000200
4103133220113112000
5320332013112403
613341012245200
71340465051502
oct233750272600
960022732020
1020931769728
118971490451
124082010800
131c8774597c
141027d51d72
15827970ca3
hex4dfa17580

20931769728 has 96 divisors (see below), whose sum is σ = 60377818800. Its totient is φ = 6960522240.

The previous prime is 20931769709. The next prime is 20931769783. The reversal of 20931769728 is 82796713902.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 463413 + ... + 506571.

Almost surely, 220931769728 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 20931769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30188909400).

20931769728 is an abundant number, since it is smaller than the sum of its proper divisors (39446049072).

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

20931769728 is a wasteful number, since it uses less digits than its factorization.

20931769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43600 (or 43585 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 20931769728 in words is "twenty billion, nine hundred thirty-one million, seven hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 421 576 842 1152 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 26944 30312 40416 43159 53888 60624 80832 86318 121248 129477 161664 172636 242496 258954 345272 388431 484992 517908 690544 776862 1035816 1381088 1553724 2071632 2762176 3107448 4143264 5524352 6214896 8286528 12429792 16573056 18169939 24859584 36339878 49719168 54509817 72679756 109019634 145359512 163529451 218039268 290719024 327058902 436078536 581438048 654117804 872157072 1162876096 1308235608 1744314144 2325752192 2616471216 3488628288 5232942432 6977256576 10465884864 20931769728