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534235747020400 = 245223127457237031
BaseRepresentation
bin111100101111000100111001…
…1111011010110111001110000
32121001120102211202120120121201
41321132021303323112321300
51030010404302214123100
65132120303011500544
7220346154560226505
oct17136116373267160
92531512752516551
10534235747020400
11145251120772157
124bb025728b7754
1319c132a3b349b9
1495cd21062b4ac
1541b6a7004636a
hex1e5e273ed6e70

534235747020400 has 120 divisors (see below), whose sum is σ = 1349851507974144. Its totient is φ = 202793767545600.

The previous prime is 534235747020359. The next prime is 534235747020401. The reversal of 534235747020400 is 4020747532435.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534235747020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227450116 + ... + 229786915.

Almost surely, 2534235747020400 is an apocalyptic number.

534235747020400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534235747020400 is an abundant number, since it is smaller than the sum of its proper divisors (815615760953744).

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

534235747020400 is a wasteful number, since it uses less digits than its factorization.

534235747020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457237199 (or 457237188 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 46.

The spelling of 534235747020400 in words is "five hundred thirty-four trillion, two hundred thirty-five billion, seven hundred forty-seven million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 127 184 200 230 254 368 400 460 508 575 635 920 1016 1150 1270 1840 2032 2300 2540 2921 3175 4600 5080 5842 6350 9200 10160 11684 12700 14605 23368 25400 29210 46736 50800 58420 73025 116840 146050 233680 292100 584200 1168400 457237031 914474062 1828948124 2286185155 3657896248 4572370310 7315792496 9144740620 10516451713 11430925775 18289481240 21032903426 22861851550 36578962480 42065806852 45723703100 52582258565 58069102937 84131613704 91447406200 105164517130 116138205874 168263227408 182894812400 210329034260 232276411748 262911292825 290345514685 420658068520 464552823496 525822585650 580691029370 841316137040 929105646992 1051645171300 1161382058740 1335589367551 1451727573425 2103290342600 2322764117480 2671178735102 2903455146850 4206580685200 4645528234960 5342357470204 5806910293700 6677946837755 10684714940408 11613820587400 13355893675510 21369429880816 23227641174800 26711787351020 33389734188775 53423574702040 66779468377550 106847149404080 133558936755100 267117873510200 534235747020400