Search a number
-
+
38136897792 = 28337788213
BaseRepresentation
bin100011100001001000…
…101110000100000000
310122102211022010202000
4203201020232010000
51111101021212132
625304142024000
72520032165640
oct434110560400
9118384263660
1038136897792
11151a0314854
127483b78000
13379a09a516
141bbad8a520
15ed316687c
hex8e122e100

38136897792 has 144 divisors (see below), whose sum is σ = 128888753280. Its totient is φ = 10896242688.

The previous prime is 38136897781. The next prime is 38136897797. The reversal of 38136897792 is 29779863183.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38136897797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345723 + ... + 442490.

Almost surely, 238136897792 is an apocalyptic number.

38136897792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38136897792 is an abundant number, since it is smaller than the sum of its proper divisors (90751855488).

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

38136897792 is an equidigital number, since it uses as much as digits as its factorization.

38136897792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788245 (or 788225 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 38136897792 in words is "thirty-eight billion, one hundred thirty-six million, eight hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 788213 1576426 2364639 3152852 4729278 5517491 6305704 7093917 9458556 11034982 12611408 14187834 16552473 18917112 21281751 22069964 25222816 28375668 33104946 37834224 42563502 44139928 49657419 50445632 56751336 66209892 75668448 85127004 88279856 99314838 100891264 113502672 132419784 148972257 151336896 170254008 176559712 198629676 201782528 227005344 264839568 297944514 302673792 340508016 353119424 397259352 454010688 529679136 595889028 605347584 681016032 706238848 794518704 908021376 1059358272 1191778056 1362032064 1412477696 1589037408 1816042752 2118716544 2383556112 2724064128 3178074816 4237433088 4767112224 5448128256 6356149632 9534224448 12712299264 19068448896 38136897792