Search a number
-
+
19695380376 = 23371395091657
BaseRepresentation
bin10010010101111011…
…111010011110011000
31212211121022222200110
4102111323322132120
5310314004133001
613014204204320
71265032654020
oct222573723630
955747288613
1019695380376
11839758a871
123997b396a0
131b1b550239
14d4ba6ca80
157a41483d6
hex495efa798

19695380376 has 128 divisors (see below), whose sum is σ = 56822976000. Its totient is φ = 5572426752.

The previous prime is 19695380359. The next prime is 19695380377. The reversal of 19695380376 is 67308359691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19695380377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11885340 + ... + 11886996.

It is an arithmetic number, because the mean of its divisors is an integer number (443929500).

Almost surely, 219695380376 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 19695380376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28411488000).

19695380376 is an abundant number, since it is smaller than the sum of its proper divisors (37127595624).

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

19695380376 is a wasteful number, since it uses less digits than its factorization.

19695380376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 19695380376 in words is "nineteen billion, six hundred ninety-five million, three hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 509 556 834 973 1018 1112 1527 1657 1668 1946 2036 2919 3054 3314 3336 3563 3892 4072 4971 5838 6108 6628 7126 7784 9942 10689 11599 11676 12216 13256 14252 19884 21378 23198 23352 28504 34797 39768 42756 46396 69594 70751 85512 92792 139188 141502 212253 230323 278376 283004 424506 460646 495257 566008 690969 843413 849012 921292 990514 1381938 1485771 1612261 1686826 1698024 1842584 1981028 2530239 2763876 2971542 3224522 3373652 3962056 4836783 5060478 5527752 5903891 5943084 6449044 6747304 9673566 10120956 11807782 11886168 12898088 17711673 19347132 20241912 23615564 35423346 38694264 47231128 70846692 117234407 141693384 234468814 351703221 468937628 703406442 820640849 937875256 1406812884 1641281698 2461922547 2813625768 3282563396 4923845094 6565126792 9847690188 19695380376