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426024000700 = 2252314311328283
BaseRepresentation
bin1100011001100010000…
…00100101110010111100
31111201122100022120200121
412030301000211302330
523434444121010300
6523413540504324
742531162154114
oct6146100456274
91451570276617
10426024000700
111547484952a1
126a6966ab0a4
133123506611c
1416896544044
15b13643d81a
hex6331025cbc

426024000700 has 144 divisors (see below), whose sum is σ = 985162945536. Its totient is φ = 159646233600.

The previous prime is 426024000691. The next prime is 426024000709. The reversal of 426024000700 is 7000420624.

It is an interprime number because it is at equal distance from previous prime (426024000691) and next prime (426024000709).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426024000709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15048759 + ... + 15077041.

It is an arithmetic number, because the mean of its divisors is an integer number (6841409344).

Almost surely, 2426024000700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426024000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492581472768).

426024000700 is an abundant number, since it is smaller than the sum of its proper divisors (559138944836).

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

426024000700 is a wasteful number, since it uses less digits than its factorization.

426024000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28484 (or 28477 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The spelling of 426024000700 in words is "four hundred twenty-six billion, twenty-four million, seven hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 113 124 155 172 215 226 310 430 452 565 620 775 860 1075 1130 1333 1550 2150 2260 2666 2825 3100 3503 4300 4859 5332 5650 6665 7006 9718 11300 13330 14012 17515 19436 24295 26660 28283 33325 35030 48590 56566 66650 70060 87575 97180 113132 121475 133300 141415 150629 175150 242950 282830 301258 350300 485900 565660 602516 707075 753145 876773 1216169 1414150 1506290 1753546 2432338 2828300 3012580 3195979 3507092 3765725 4383865 4864676 6080845 6391958 7531450 8767730 12161690 12783916 15062900 15979895 17535460 21919325 24323380 30404225 31959790 37701239 43838650 60808450 63919580 75402478 79899475 87677300 99075349 121616900 137427097 150804956 159798950 188506195 198150698 274854194 319597900 377012390 396301396 495376745 549708388 687135485 754024780 942530975 990753490 1374270970 1885061950 1981506980 2476883725 2748541940 3435677425 3770123900 4260240007 4953767450 6871354850 8520480014 9907534900 13742709700 17040960028 21301200035 42602400070 85204800140 106506000175 213012000350 426024000700