Search a number
-
+
19896795136 = 216192292
BaseRepresentation
bin10010100001111100…
…010000000000000000
31220100122022220210101
4102201330100000000
5311222034421021
613050201212144
71303026653041
oct224174200000
956318286711
1019896795136
118490249749
123a33491054
131b511b147a
14d6a6dc8c8
157b6b81a91
hex4a1f10000

19896795136 has 153 divisors (see below), whose sum is σ = 43496042421. Its totient is φ = 9099804672.

The previous prime is 19896795133. The next prime is 19896795169. The reversal of 19896795136 is 63159769891.

It is a happy number.

The square root of 19896795136 is 141056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10433396736 + 9463398400 = 102144^2 + 97280^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19896795133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686096370 + ... + 686096398.

Almost surely, 219896795136 is an apocalyptic number.

19896795136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19896795136 is the 141056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19896795136

19896795136 is an abundant number, since it is smaller than the sum of its proper divisors (23599247285).

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

19896795136 is an frugal number, since it uses more digits than its factorization.

19896795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 50 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 64.

Multiplying 19896795136 by its sum of digits (64), we get a square (1273394888704 = 11284482).

19896795136 divided by its sum of digits (64) gives a square (310887424 = 176322).

The spelling of 19896795136 in words is "nineteen billion, eight hundred ninety-six million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 361 464 512 551 608 722 841 928 1024 1102 1216 1444 1682 1856 2048 2204 2432 2888 3364 3712 4096 4408 4864 5776 6728 7424 8192 8816 9728 10469 11552 13456 14848 15979 16384 17632 19456 20938 23104 26912 29696 31958 32768 35264 38912 41876 46208 53824 59392 63916 65536 70528 77824 83752 92416 107648 118784 127832 141056 155648 167504 184832 215296 237568 255664 282112 303601 311296 335008 369664 430592 475136 511328 564224 607202 622592 670016 739328 861184 950272 1022656 1128448 1214404 1245184 1340032 1478656 1722368 1900544 2045312 2256896 2428808 2680064 2957312 3444736 4090624 4513792 4857616 5360128 5914624 6889472 8181248 9027584 9715232 10720256 11829248 13778944 16362496 18055168 19430464 21440512 23658496 27557888 32724992 36110336 38860928 42881024 55115776 65449984 77721856 85762048 130899968 155443712 171524096 261799936 310887424 343048192 523599872 621774848 686096384 1047199744 1243549696 2487099392 4974198784 9948397568 19896795136