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490256036352 = 293397736299
BaseRepresentation
bin1110010001001011000…
…10010111001000000000
31201212102210020001222000
413020211202113020000
531013021021130402
61013115344144000
750264000360145
oct7104542271000
91655383201860
10490256036352
11179a0982a385
127b021908000
1337300507704
1419a2b0ac3cc
15cb4549cc1c
hex7225897200

490256036352 has 160 divisors (see below), whose sum is σ = 1452717288000. Its totient is φ = 163246915584.

The previous prime is 490256036323. The next prime is 490256036401. The reversal of 490256036352 is 253630652094.

490256036352 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 5 + 6 + 0 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 490256036298 and 490256036307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13487899 + ... + 13524197.

It is an arithmetic number, because the mean of its divisors is an integer number (9079483050).

Almost surely, 2490256036352 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 490256036352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726358644000).

490256036352 is an abundant number, since it is smaller than the sum of its proper divisors (962461251648).

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

490256036352 is an equidigital number, since it uses as much as digits as its factorization.

490256036352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37303 (or 37281 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 490256036352 in words is "four hundred ninety billion, two hundred fifty-six million, thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 977 1152 1536 1728 1954 2304 2931 3456 3908 4608 5862 6912 7816 8793 11724 13824 15632 17586 23448 26379 31264 35172 36299 46896 52758 62528 70344 72598 93792 105516 108897 125056 140688 145196 187584 211032 217794 250112 281376 290392 326691 375168 422064 435588 500224 562752 580784 653382 750336 844128 871176 980073 1125504 1161568 1306764 1500672 1688256 1742352 1960146 2251008 2323136 2613528 3376512 3484704 3920292 4502016 4646272 5227056 6753024 6969408 7840584 9292544 10454112 13506048 13938816 15681168 18585088 20908224 27877632 31362336 35464123 41816448 55755264 62724672 70928246 83632896 106392369 125449344 141856492 167265792 212784738 250898688 283712984 319177107 425569476 501797376 567425968 638354214 851138952 957531321 1134851936 1276708428 1702277904 1915062642 2269703872 2553416856 3404555808 3830125284 4539407744 5106833712 6809111616 7660250568 9078815488 10213667424 13618223232 15320501136 18157630976 20427334848 27236446464 30641002272 40854669696 54472892928 61282004544 81709339392 122564009088 163418678784 245128018176 490256036352