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490618062740 = 225132537337517
BaseRepresentation
bin1110010001110110001…
…11011000011110010100
31201220101000102220210202
413020323013120132110
531014241211001430
61013215315440032
750305654503521
oct7107307303624
91656330386722
10490618062740
1117a085119143
127b102bb6018
133735a511900
1419a631ca148
15cb6715ed45
hex723b1d8794

490618062740 has 144 divisors (see below), whose sum is σ = 1152299938608. Its totient is φ = 175293960192.

The previous prime is 490618062709. The next prime is 490618062817. The reversal of 490618062740 is 47260816094.

It can be written as a sum of positive squares in 24 ways, for example, as 388854510724 + 101763552016 = 623582^2 + 319004^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13058462 + ... + 13095978.

It is an arithmetic number, because the mean of its divisors is an integer number (8002082907).

Almost surely, 2490618062740 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 490618062740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576149969304).

490618062740 is an abundant number, since it is smaller than the sum of its proper divisors (661681875868).

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

490618062740 is a wasteful number, since it uses less digits than its factorization.

490618062740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37678 (or 37663 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 490618062740 in words is "four hundred ninety billion, six hundred eighteen million, sixty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 73 106 130 146 169 212 260 265 292 338 365 530 676 689 730 845 949 1060 1378 1460 1690 1898 2756 3380 3445 3796 3869 4745 6890 7738 8957 9490 12337 13780 15476 17914 18980 19345 24674 35828 37517 38690 44785 49348 50297 61685 75034 77380 89570 100594 123370 150068 179140 187585 201188 246740 251485 375170 487721 502970 653861 750340 975442 1005940 1307722 1950884 1988401 2438605 2615444 2738741 3269305 3976802 4877210 5477482 6340373 6538610 7953604 9754420 9942005 10954964 12680746 13077220 13693705 19884010 25361492 25849213 27387410 31701865 35603633 39768020 51698426 54774820 63403730 71207266 103396852 126807460 129246065 142414532 145153273 178018165 258492130 290306546 336039769 356036330 462847229 516984260 580613092 672079538 712072660 725766365 925694458 1344159076 1451532730 1680198845 1851388916 1886992549 2314236145 2903065460 3360397690 3773985098 4628472290 6720795380 7547970196 9256944580 9434962745 18869925490 24530903137 37739850980 49061806274 98123612548 122654515685 245309031370 490618062740