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130435838470 = 25719104993491
BaseRepresentation
bin111100101111010010…
…1001111001000000110
3110110200022001010121101
41321132211033020012
54114113033312340
6135531004410314
712265215222310
oct1713645171006
9413608033541
10130435838470
11503546a3013
122134284699a
13c3b9283712
14645531c7b0
1535d6255c9a
hex1e5e94f206

130435838470 has 64 divisors (see below), whose sum is σ = 282719808000. Its totient is φ = 42326288640.

The previous prime is 130435838461. The next prime is 130435838473. The reversal of 130435838470 is 74838534031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130435838470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130435838473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348425 + ... + 1441915.

It is an arithmetic number, because the mean of its divisors is an integer number (4417497000).

Almost surely, 2130435838470 is an apocalyptic number.

130435838470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130435838470 is an abundant number, since it is smaller than the sum of its proper divisors (152283969530).

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

130435838470 is a wasteful number, since it uses less digits than its factorization.

130435838470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94573.

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 130435838470 in words is "one hundred thirty billion, four hundred thirty-five million, eight hundred thirty-eight thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1049 1330 2098 5245 7343 10490 14686 19931 36715 39862 73430 93491 99655 139517 186982 199310 279034 467455 654437 697585 934910 1308874 1395170 1776329 3272185 3552658 6544370 8881645 12434303 17763290 24868606 62171515 98072059 124343030 196144118 490360295 686504413 980720590 1373008826 1863369121 3432522065 3726738242 6865044130 9316845605 13043583847 18633691210 26087167694 65217919235 130435838470