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130478679837 = 321121720533433
BaseRepresentation
bin111100110000100100…
…0101010011100011101
3110110210021122200220200
41321201020222130131
54114210020223322
6135535134534113
712266245323252
oct1714110523435
9413707580820
10130478679837
11503768a4400
1221355067339
13c3c510363c
14645acb1429
1535d9db98ac
hex1e6122a71d

130478679837 has 72 divisors (see below), whose sum is σ = 219517035192. Its totient is φ = 74368419840.

The previous prime is 130478679827. The next prime is 130478679853. The reversal of 130478679837 is 738976874031.

130478679837 is a `hidden beast` number, since 13 + 0 + 478 + 6 + 79 + 83 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25955143236 + 104523536601 = 161106^2 + 323301^2 .

It is not a de Polignac number, because 130478679837 - 232 = 126183712541 is a prime.

It is a super-3 number, since 3×1304786798373 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130478679827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38005473 + ... + 38008905.

It is an arithmetic number, because the mean of its divisors is an integer number (3048847711).

Almost surely, 2130478679837 is an apocalyptic number.

130478679837 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130478679837 is a deficient number, since it is larger than the sum of its proper divisors (89038355355).

130478679837 is a wasteful number, since it uses less digits than its factorization.

130478679837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 130478679837 in words is "one hundred thirty billion, four hundred seventy-eight million, six hundred seventy-nine thousand, eight hundred thirty-seven".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2053 2057 3433 6159 6171 10299 18477 18513 22583 30897 34901 37763 58361 67749 104703 113289 175083 203247 248413 314109 339867 383911 415393 525249 641971 745239 1151733 1246179 1925913 2235717 3455199 3738537 4223021 5777739 7047949 7061681 12669063 21143847 21185043 38007189 63431541 63555129 77527439 119815133 232582317 359445399 697746951 852801829 1078336197 1317966463 2558405487 3953899389 7675216461 11861698167 14497631093 43492893279 130478679837