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5142627554000 = 24537143383639
BaseRepresentation
bin100101011010101110001…
…1111010001001011010000
3200012122000120000120122012
41022311130133101023100
51133224100123212000
614534253540002052
71040354050652546
oct112653437211320
920178016016565
105142627554000
111702a81205932
126b0813690328
132b3c42125a31
1413ac93d49d96
158db88e67735
hex4ad5c7d12d0

5142627554000 has 160 divisors (see below), whose sum is σ = 12639286033920. Its totient is φ = 2023370496000.

The previous prime is 5142627553993. The next prime is 5142627554021. The reversal of 5142627554000 is 4557262415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61444181 + ... + 61527819.

It is an arithmetic number, because the mean of its divisors is an integer number (78995537712).

Almost surely, 25142627554000 is an apocalyptic number.

5142627554000 is a gapful number since it is divisible by the number (50) 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 5142627554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319643016960).

5142627554000 is an abundant number, since it is smaller than the sum of its proper divisors (7496658479920).

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

5142627554000 is a wasteful number, since it uses less digits than its factorization.

5142627554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84166 (or 84150 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 41.

The spelling of 5142627554000 in words is "five trillion, one hundred forty-two billion, six hundred twenty-seven million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 433 500 568 710 866 1000 1136 1420 1732 1775 2000 2165 2840 3464 3550 4330 5680 6928 7100 8660 8875 10825 14200 17320 17750 21650 28400 30743 34640 35500 43300 54125 61486 71000 83639 86600 108250 122972 142000 153715 167278 173200 216500 245944 307430 334556 418195 433000 491888 614860 669112 768575 836390 866000 1229720 1338224 1537150 1672780 2090975 2459440 3074300 3345560 3842875 4181950 5938369 6148600 6691120 7685750 8363900 10454875 11876738 12297200 15371500 16727800 20909750 23753476 29691845 30743000 33455600 36215687 41819500 47506952 59383690 61486000 72431374 83639000 95013904 118767380 144862748 148459225 167278000 181078435 237534760 289725496 296918450 362156870 475069520 579450992 593836900 724313740 742296125 905392175 1187673800 1448627480 1484592250 1810784350 2375347600 2571313777 2897254960 2969184500 3621568700 4526960875 5142627554 5938369000 7243137400 9053921750 10285255108 11876738000 12856568885 14486274800 18107843500 20570510216 25713137770 36215687000 41141020432 51426275540 64282844425 72431374000 102852551080 128565688850 205705102160 257131377700 321414222125 514262755400 642828444250 1028525510800 1285656888500 2571313777000 5142627554000