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5306404689120 = 253523946255271
BaseRepresentation
bin100110100110111111001…
…0111011101010011100000
3200210021202110121001221110
41031031332113131103200
51143420004100022440
615141421220223320
71055242440434523
oct115157627352340
920707673531843
105306404689120
111766485122567
1271850023ab40
132c6512a82642
14144b8d35cbba
1593072306080
hex4d37e5dd4e0

5306404689120 has 96 divisors (see below), whose sum is σ = 16785113103360. Its totient is φ = 1409120545280.

The previous prime is 5306404689067. The next prime is 5306404689149. The reversal of 5306404689120 is 219864046035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5306404689120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23012916 + ... + 23242355.

It is an arithmetic number, because the mean of its divisors is an integer number (174844928160).

Almost surely, 25306404689120 is an apocalyptic number.

It is an amenable number.

5306404689120 is an abundant number, since it is smaller than the sum of its proper divisors (11478708414240).

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

5306404689120 is a wasteful number, since it uses less digits than its factorization.

5306404689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46255528 (or 46255520 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 5306404689120 in words is "five trillion, three hundred six billion, four hundred four million, six hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 239 240 478 480 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 7648 9560 11472 14340 19120 22944 28680 38240 57360 114720 46255271 92510542 138765813 185021084 231276355 277531626 370042168 462552710 555063252 693829065 740084336 925105420 1110126504 1387658130 1480168672 1850210840 2220253008 2775316260 3700421680 4440506016 5550632520 7400843360 11055009769 11101265040 22110019538 22202530080 33165029307 44220039076 55275048845 66330058614 88440078152 110550097690 132660117228 165825146535 176880156304 221100195380 265320234456 331650293070 353760312608 442200390760 530640468912 663300586140 884400781520 1061280937824 1326601172280 1768801563040 2653202344560 5306404689120