Search a number
-
+
98137882712064 = 2113131228689437
BaseRepresentation
bin10110010100000110000001…
…101000110101100000000000
3110212110220000210010012001010
4112110012001220311200000
5100330342340433241224
6544415530530440520
726446141135304316
oct2624060150654000
9425426023105033
1098137882712064
11292a7051383798
12b00b942433140
13429b493911b80
141a33c826c40b6
15b52bd16d3e29
hex594181a35800

98137882712064 has 96 divisors (see below), whose sum is σ = 281763061922160. Its totient is φ = 30196271579136.

The previous prime is 98137882712033. The next prime is 98137882712099. The reversal of 98137882712064 is 46021728873189.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×981378827120642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98137882711986 and 98137882712004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614264847 + ... + 614424590.

Almost surely, 298137882712064 is an apocalyptic number.

It is an amenable number.

98137882712064 is an abundant number, since it is smaller than the sum of its proper divisors (183625179210096).

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

98137882712064 is a wasteful number, since it uses less digits than its factorization.

98137882712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228689475 (or 1228689455 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 98137882712064 in words is "ninety-eight trillion, one hundred thirty-seven billion, eight hundred eighty-two million, seven hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4992 6144 6656 9984 13312 19968 26624 39936 79872 1228689437 2457378874 3686068311 4914757748 7372136622 9829515496 14744273244 15972962681 19659030992 29488546488 31945925362 39318061984 47918888043 58977092976 63891850724 78636123968 95837776086 117954185952 127783701448 157272247936 191675552172 235908371904 255567402896 314544495872 383351104344 471816743808 511134805792 629088991744 766702208688 943633487616 1022269611584 1258177983488 1533404417376 1887266975232 2044539223168 2516355966976 3066808834752 3774533950464 4089078446336 6133617669504 7549067900928 8178156892672 12267235339008 16356313785344 24534470678016 32712627570688 49068941356032 98137882712064