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500964141840 = 24354392952253
BaseRepresentation
bin1110100101000111100…
…10100010101100010000
31202220002001102012012120
413102203302202230100
531201433310014330
61022050104054240
751123233642451
oct7224362425420
91686061365176
10500964141840
1118350421a538
128110ba64380
1338318b116c6
141a3652b9128
15d0705cec10
hex74a3ca2b10

500964141840 has 160 divisors (see below), whose sum is σ = 1590845857920. Its totient is φ = 130340732928.

The previous prime is 500964141833. The next prime is 500964141851. The reversal of 500964141840 is 48141469005.

It is a junction number, because it is equal to n+sod(n) for n = 500964141792 and 500964141801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9561154 + ... + 9613406.

It is an arithmetic number, because the mean of its divisors is an integer number (9942786612).

Almost surely, 2500964141840 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 500964141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795422928960).

500964141840 is an abundant number, since it is smaller than the sum of its proper divisors (1089881716080).

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

500964141840 is a wasteful number, since it uses less digits than its factorization.

500964141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53241 (or 53235 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 500964141840 in words is "five hundred billion, nine hundred sixty-four million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 929 1032 1290 1720 1858 2064 2580 2787 3440 3716 4645 5160 5574 7432 9290 10320 11148 13935 14864 18580 22296 27870 37160 39947 44592 52253 55740 74320 79894 104506 111480 119841 156759 159788 199735 209012 222960 239682 261265 313518 319576 399470 418024 479364 522530 599205 627036 639152 783795 798940 836048 958728 1045060 1198410 1254072 1567590 1597880 1917456 2090120 2246879 2396820 2508144 3135180 3195760 4180240 4493758 4793640 6270360 6740637 8987516 9587280 11234395 12540720 13481274 17975032 22468790 26962548 33703185 35950064 44937580 48543037 53925096 67406370 89875160 97086074 107850192 134812740 145629111 179750320 194172148 242715185 269625480 291258222 388344296 485430370 539250960 582516444 728145555 776688592 970860740 1165032888 1456291110 1941721480 2087350591 2330065776 2912582220 3883442960 4174701182 5825164440 6262051773 8349402364 10436752955 11650328880 12524103546 16698804728 20873505910 25048207092 31310258865 33397609456 41747011820 50096414184 62620517730 83494023640 100192828368 125241035460 166988047280 250482070920 500964141840