Search a number
-
+
137081126448 = 24327235912747
BaseRepresentation
bin111111110101010101…
…0111111111000110000
3111002211102022201222100
41333222222333320300
54221220232021243
6142550232140400
712621666230610
oct1775252777060
9432742281870
10137081126448
11531547a4252
1222698237700
13cc07c43796
1468c5b02a40
1538748550d3
hex1feaabfe30

137081126448 has 120 divisors (see below), whose sum is σ = 457504789248. Its totient is φ = 37463158656.

The previous prime is 137081126443. The next prime is 137081126531. The reversal of 137081126448 is 844621180731.

137081126448 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 81 + 126 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (137081126443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2933190 + ... + 2979557.

Almost surely, 2137081126448 is an apocalyptic number.

137081126448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137081126448 is an abundant number, since it is smaller than the sum of its proper divisors (320423662800).

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

137081126448 is a wasteful number, since it uses less digits than its factorization.

137081126448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912791 (or 5912782 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 137081126448 in words is "one hundred thirty-seven billion, eighty-one million, one hundred twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 5912747 11825494 17738241 23650988 35476482 41389229 47301976 53214723 70952964 82778458 94603952 106429446 124167687 135993181 141905928 165556916 212858892 248335374 271986362 283811856 331113832 372503061 407979543 425717784 496670748 543972724 662227664 745006122 815959086 851435568 951952267 993341496 1087945448 1223938629 1490012244 1631918172 1903904534 1986682992 2175890896 2447877258 2855856801 2980024488 3263836344 3807809068 4895754516 5711713602 5960048976 6527672688 7615618136 8567570403 9791509032 11423427204 15231236272 17135140806 19583018064 22846854408 34270281612 45693708816 68540563224 137081126448