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20697014880 = 25325131109717
BaseRepresentation
bin10011010001101000…
…110110001001100000
31222102102002021220200
4103101220312021200
5314341413434010
613301424505200
71331614503153
oct232150661140
958372067820
1020697014880
118860a1a683
12401747b200
131c4ac10389
141004ac3c9a
1581204dcc0
hex4d1a36260

20697014880 has 144 divisors (see below), whose sum is σ = 71168361264. Its totient is φ = 5477022720.

The previous prime is 20697014873. The next prime is 20697014903. The reversal of 20697014880 is 8841079602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 133782 + ... + 243498.

It is an arithmetic number, because the mean of its divisors is an integer number (494224731).

Almost surely, 220697014880 is an apocalyptic number.

20697014880 is a gapful number since it is divisible by the number (20) 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 20697014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35584180632).

20697014880 is an abundant number, since it is smaller than the sum of its proper divisors (50471346384).

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

20697014880 is a wasteful number, since it uses less digits than its factorization.

20697014880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109869 (or 109858 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20697014880 in words is "twenty billion, six hundred ninety-seven million, fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7860 9432 10480 11790 12576 15720 18864 20960 23580 31440 37728 47160 62880 94320 109717 188640 219434 329151 438868 548585 658302 877736 987453 1097170 1316604 1645755 1755472 1974906 2194340 2633208 3291510 3510944 3949812 4388680 4937265 5266416 6583020 7899624 8777360 9874530 10532832 13166040 14372927 15799248 17554720 19749060 26332080 28745854 31598496 39498120 43118781 52664160 57491708 71864635 78996240 86237562 114983416 129356343 143729270 157992480 172475124 215593905 229966832 258712686 287458540 344950248 431187810 459933664 517425372 574917080 646781715 689900496 862375620 1034850744 1149834160 1293563430 1379800992 1724751240 2069701488 2299668320 2587126860 3449502480 4139402976 5174253720 6899004960 10348507440 20697014880