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130540153184 = 25710319492903
BaseRepresentation
bin111100110010011001…
…1001010100101100000
3110110221120022212111022
41321210303022211200
54114321234400214
6135545212305012
712300622664660
oct1714463124540
9413846285438
10130540153184
11503a8571221
1221371772168
13c404a780bc
1464651141a0
1535e04add8e
hex1e64cca960

130540153184 has 96 divisors (see below), whose sum is σ = 296821324800. Its totient is φ = 55355116032.

The previous prime is 130540153157. The next prime is 130540153217. The reversal of 130540153184 is 481351045031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44965877 + ... + 44968779.

It is an arithmetic number, because the mean of its divisors is an integer number (3091888800).

Almost surely, 2130540153184 is an apocalyptic number.

130540153184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130540153184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148410662400).

130540153184 is an abundant number, since it is smaller than the sum of its proper divisors (166281171616).

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

130540153184 is a wasteful number, since it uses less digits than its factorization.

130540153184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 130540153184 in words is "one hundred thirty billion, five hundred forty million, one hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 1949 2884 2903 3296 3898 5768 5806 7796 11536 11612 13643 15592 20321 23072 23224 27286 31184 40642 46448 54572 62368 81284 92896 109144 162568 200747 218288 299009 325136 401494 436576 598018 650272 802988 1196036 1405229 1605976 2093063 2392072 2810458 3211952 4186126 4784144 5620916 5657947 6423904 8372252 9568288 11241832 11315894 16744504 22483664 22631788 33489008 39605629 44967328 45263576 66978016 79211258 90527152 158422516 181054304 316845032 582768541 633690064 1165537082 1267380128 2331074164 4079379787 4662148328 8158759574 9324296656 16317519148 18648593312 32635038296 65270076592 130540153184