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421925529124 = 2211217194165827
BaseRepresentation
bin1100010001111001011…
…10001010011000100100
31111100001201022122122001
412020330232022120210
523403100413412444
6521455132215044
742324464552311
oct6107456123044
91440051278561
10421925529124
11152a34a63a00
126993200a484
1330a30c17808
14165c80b9d08
15ae967168d4
hex623cb8a624

421925529124 has 144 divisors (see below), whose sum is σ = 926642324160. Its totient is φ = 166829414400.

The previous prime is 421925529121. The next prime is 421925529127.

It is a happy number.

421925529124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (421925529121) and next prime (421925529127).

It is not an unprimeable number, because it can be changed into a prime (421925529121) 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, 6376699 + ... + 6442525.

It is an arithmetic number, because the mean of its divisors is an integer number (6435016140).

Almost surely, 2421925529124 is an apocalyptic number.

421925529124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421925529124 is an abundant number, since it is smaller than the sum of its proper divisors (504716795036).

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

421925529124 is a wasteful number, since it uses less digits than its factorization.

421925529124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65930 (or 65917 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 421925529124 in words is "four hundred twenty-one billion, nine hundred twenty-five million, five hundred twenty-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 11 17 19 22 34 38 41 44 68 76 82 121 164 187 209 242 323 374 418 451 484 646 697 748 779 836 902 1292 1394 1558 1804 2057 2299 2788 3116 3553 4114 4598 4961 7106 7667 8228 8569 9196 9922 13243 14212 15334 17138 19844 26486 30668 34276 39083 52972 65827 78166 84337 94259 131654 145673 156332 168674 188518 263308 291346 337348 377036 582692 724097 1119059 1250713 1448194 1602403 2238118 2501426 2698907 2896388 3204806 4476236 5002852 5397814 6409612 7965067 10795628 12309649 13757843 15930134 21262121 24619298 27515686 29687977 31860268 42524242 45881419 49238596 51279233 55031372 59375954 85048484 91762838 102558466 118751908 135406139 151336273 183525676 205116932 233883331 270812278 302672546 326567747 467766662 504695609 541624556 564071563 605345092 653135494 871746961 935533324 1009391218 1128143126 1306270988 1743493922 2018782436 2256286252 2572716641 3486987844 5145433282 5551651699 6204787193 9589216571 10290866564 11103303398 12409574386 19178433142 22206606796 24819148772 38356866284 105481382281 210962764562 421925529124