Search a number
-
+
19997655408 = 2433597611031
BaseRepresentation
bin10010100111111101…
…000000000101110000
31220121200010011002000
4102213331000011300
5311423344433113
613104203054000
71305363160233
oct224775000560
956550104060
1019997655408
118532178545
123a61211300
131b690666c3
14d79c7541a
157c0956373
hex4a7f40170

19997655408 has 160 divisors (see below), whose sum is σ = 58506969600. Its totient is φ = 6537945600.

The previous prime is 19997655389. The next prime is 19997655451. The reversal of 19997655408 is 80455679991.

19997655408 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 76 + 554 + 0 + 8 = 666.

It is a super-2 number, since 2×199976554082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19395853 + ... + 19396883.

It is an arithmetic number, because the mean of its divisors is an integer number (365668560).

Almost surely, 219997655408 is an apocalyptic number.

19997655408 is a gapful number since it is divisible by the number (18) 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 19997655408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29253484800).

19997655408 is an abundant number, since it is smaller than the sum of its proper divisors (38509314192).

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

19997655408 is a wasteful number, since it uses less digits than its factorization.

19997655408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 19997655408 in words is "nineteen billion, nine hundred ninety-seven million, six hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 761 944 1031 1062 1416 1522 1593 2062 2124 2283 2832 3044 3093 3186 4124 4248 4566 6088 6186 6372 6849 8248 8496 9132 9279 12176 12372 12744 13698 16496 18264 18558 20547 24744 25488 27396 27837 36528 37116 41094 44899 49488 54792 55674 60829 74232 82188 89798 109584 111348 121658 134697 148464 164376 179596 182487 222696 243316 269394 328752 359192 364974 404091 445392 486632 538788 547461 718384 729948 784591 808182 973264 1077576 1094922 1212273 1459896 1569182 1616364 1642383 2155152 2189844 2353773 2424546 2919792 3138364 3232728 3284766 4379688 4707546 4849092 6276728 6465456 6569532 7061319 8759376 9415092 9698184 12553456 13139064 14122638 18830184 19396368 21183957 26278128 28245276 37660368 42367914 46290869 56490552 84735828 92581738 112981104 138872607 169471656 185163476 277745214 338943312 370326952 416617821 555490428 740653904 833235642 1110980856 1249853463 1666471284 2221961712 2499706926 3332942568 4999413852 6665885136 9998827704 19997655408