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20257623990 = 2335414913727
BaseRepresentation
bin10010110111011100…
…101100111110110110
31221021210021220221000
4102313130230332312
5312441422431430
613150051104130
71315000651152
oct226734547666
957253256830
1020257623990
11865599a80a
123b142a2046
131baab89576
14da25c8062
157d86a8e60
hex4b772cfb6

20257623990 has 128 divisors (see below), whose sum is σ = 55465482240. Its totient is φ = 5258131200.

The previous prime is 20257623989. The next prime is 20257624039. The reversal of 20257623990 is 9932675202.

It is a happy number.

20257623990 is a `hidden beast` number, since 2 + 0 + 257 + 6 + 2 + 399 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5433507 + ... + 5437233.

It is an arithmetic number, because the mean of its divisors is an integer number (433324080).

Almost surely, 220257623990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20257623990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732741120).

20257623990 is an abundant number, since it is smaller than the sum of its proper divisors (35207858250).

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

20257623990 is a wasteful number, since it uses less digits than its factorization.

20257623990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20257623990 in words is "twenty billion, two hundred fifty-seven million, six hundred twenty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 491 615 738 982 1107 1230 1473 1845 2214 2455 2946 3690 3727 4419 4910 5535 7365 7454 8838 11070 11181 13257 14730 18635 20131 22095 22362 26514 33543 37270 40262 44190 55905 60393 66285 67086 100629 100655 111810 120786 132570 152807 167715 181179 201258 201310 301965 305614 335430 362358 458421 503145 543537 603930 764035 905895 916842 1006290 1087074 1375263 1528070 1811790 1829957 2292105 2717685 2750526 3659914 4125789 4584210 5435370 5489871 6876315 8251578 9149785 10979742 13752630 16469613 18299570 20628945 27449355 32939226 41257890 49408839 54898710 75028237 82348065 98817678 150056474 164696130 225084711 247044195 375141185 450169422 494088390 675254133 750282370 1125423555 1350508266 2025762399 2250847110 3376270665 4051524798 6752541330 10128811995 20257623990