Search a number
-
+
138596662848 = 2637649115887
BaseRepresentation
bin1000000100010100000…
…0010011111001000000
3111020202001001222002010
42001011000103321000
54232321221202343
6143400451252520
713004361124230
oct2010500237100
9436661058063
10138596662848
1153862226176
1222a3b8aa140
13100b9c15597
1469cb0cbcc0
15391291cd33
hex2045013e40

138596662848 has 112 divisors (see below), whose sum is σ = 419180857344. Its totient is φ = 39590453760.

The previous prime is 138596662843. The next prime is 138596662873. The reversal of 138596662848 is 848266695831.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1385966628482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138596662843) 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, 8715961 + ... + 8731847.

Almost surely, 2138596662848 is an apocalyptic number.

It is an amenable number.

138596662848 is an abundant number, since it is smaller than the sum of its proper divisors (280584194496).

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

138596662848 is a wasteful number, since it uses less digits than its factorization.

138596662848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22400 (or 22390 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 66.

The spelling of 138596662848 in words is "one hundred thirty-eight billion, five hundred ninety-six million, six hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 6491 12982 15887 19473 25964 31774 38946 45437 47661 51928 63548 77892 90874 95322 103856 111209 127096 136311 155784 181748 190644 207712 222418 254192 272622 311568 333627 363496 381288 415424 444836 508384 545244 623136 667254 726992 762576 889672 1016768 1090488 1246272 1334508 1453984 1525152 1779344 2180976 2669016 2907968 3050304 3558688 4361952 5338032 7117376 8723904 10676064 21352128 103122517 206245034 309367551 412490068 618735102 721857619 824980136 1237470204 1443715238 1649960272 2165572857 2474940408 2887430476 3299920544 4331145714 4949880816 5774860952 6599841088 8662291428 9899761632 11549721904 17324582856 19799523264 23099443808 34649165712 46198887616 69298331424 138596662848