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20969420616 = 233579136541
BaseRepresentation
bin10011100001110111…
…111111011101001000
32000010101122221100000
4103201313333131020
5320421132424431
613344435243000
71341433064034
oct234167773510
960111587300
1020969420616
118990767091
124092749460
131c924991c1
14102cd531c4
1582ae0b9e6
hex4e1dff748

20969420616 has 96 divisors (see below), whose sum is σ = 59641545600. Its totient is φ = 6901277760.

The previous prime is 20969420581. The next prime is 20969420621. The reversal of 20969420616 is 61602496902.

20969420616 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 9 + 4 + 20 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85306 + ... + 221846.

It is an arithmetic number, because the mean of its divisors is an integer number (621266100).

Almost surely, 220969420616 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 20969420616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820772800).

20969420616 is an abundant number, since it is smaller than the sum of its proper divisors (38672124984).

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

20969420616 is a wasteful number, since it uses less digits than its factorization.

20969420616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136641 (or 136625 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20969420616 in words is "twenty billion, nine hundred sixty-nine million, four hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 243 316 324 474 486 632 648 711 948 972 1422 1896 1944 2133 2844 4266 5688 6399 8532 12798 17064 19197 25596 38394 51192 76788 136541 153576 273082 409623 546164 819246 1092328 1228869 1638492 2457738 3276984 3686607 4915476 7373214 9830952 10786739 11059821 14746428 21573478 22119642 29492856 32360217 33179463 43146956 44239284 64720434 66358926 86293912 88478568 97080651 129440868 132717852 194161302 258881736 265435704 291241953 388322604 582483906 776645208 873725859 1164967812 1747451718 2329935624 2621177577 3494903436 5242355154 6989806872 10484710308 20969420616