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5354130096 = 2432722323819
BaseRepresentation
bin1001111110010000…
…11000101010110000
3111211010201222201200
410333020120222300
541431124130341
62243141331200
7246452232510
oct47710305260
914733658650
105354130096
1122a82a3207
121055106b00
1367432c923
1438b125840
152150a8db6
hex13f218ab0

5354130096 has 120 divisors (see below), whose sum is σ = 17202232320. Its totient is φ = 1522827648.

The previous prime is 5354130083. The next prime is 5354130097. The reversal of 5354130096 is 6900314535.

5354130096 is a `hidden beast` number, since 535 + 4 + 1 + 30 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5354130096.

It is not an unprimeable number, because it can be changed into a prime (5354130097) 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, 212875 + ... + 236693.

It is an arithmetic number, because the mean of its divisors is an integer number (143351936).

Almost surely, 25354130096 is an apocalyptic number.

5354130096 is a gapful number since it is divisible by the number (56) 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 5354130096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601116160).

5354130096 is an abundant number, since it is smaller than the sum of its proper divisors (11848102224).

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

5354130096 is a wasteful number, since it uses less digits than its factorization.

5354130096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24063 (or 24054 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5354130096 is about 73171.9214999852. The cubic root of 5354130096 is about 1749.4289397671.

The spelling of 5354130096 in words is "five billion, three hundred fifty-four million, one hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 223 252 336 446 504 669 892 1008 1338 1561 1784 2007 2676 3122 3568 4014 4683 5352 6244 8028 9366 10704 12488 14049 16056 18732 23819 24976 28098 32112 37464 47638 56196 71457 74928 95276 112392 142914 166733 190552 214371 224784 285828 333466 381104 428742 500199 571656 666932 857484 1000398 1143312 1333864 1500597 1714968 2000796 2667728 3001194 3429936 4001592 5311637 6002388 8003184 10623274 12004776 15934911 21246548 24009552 31869822 37181459 42493096 47804733 63739644 74362918 84986192 95609466 111544377 127479288 148725836 191218932 223088754 254958576 297451672 334633131 382437864 446177508 594903344 669266262 764875728 892355016 1338532524 1784710032 2677065048 5354130096