Search a number
-
+
19695423936 = 263319973319
BaseRepresentation
bin10010010101111100…
…000101000111000000
31212211121102012102210
4102111330011013000
5310314012031221
613014205142120
71265033225016
oct222574050700
955747365383
1019695423936
11839760a571
123997b5a940
131b1b567006
14d4ba808b6
157a4156276
hex495f051c0

19695423936 has 112 divisors (see below), whose sum is σ = 53861980160. Its totient is φ = 6345077760.

The previous prime is 19695423929. The next prime is 19695423977. The reversal of 19695423936 is 63932459691.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5932485 + ... + 5935803.

Almost surely, 219695423936 is an apocalyptic number.

19695423936 is a gapful number since it is divisible by the number (16) 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 19695423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930990080).

19695423936 is an abundant number, since it is smaller than the sum of its proper divisors (34166556224).

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

19695423936 is a wasteful number, since it uses less digits than its factorization.

19695423936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4352 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 57.

The spelling of 19695423936 in words is "nineteen billion, six hundred ninety-five million, four hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 997 1488 1984 1994 2976 2991 3319 3988 5952 5982 6638 7976 9957 11964 13276 15952 19914 23928 26552 30907 31904 39828 47856 53104 61814 63808 79656 92721 95712 102889 106208 123628 159312 185442 191424 205778 212416 247256 308667 318624 370884 411556 494512 617334 637248 741768 823112 989024 1234668 1483536 1646224 1978048 2469336 2967072 3292448 3309043 4938672 5934144 6584896 6618086 9877344 9927129 13236172 19754688 19854258 26472344 39708516 52944688 79417032 102580333 105889376 158834064 205160666 211778752 307740999 317668128 410321332 615481998 635336256 820642664 1230963996 1641285328 2461927992 3282570656 4923855984 6565141312 9847711968 19695423936