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352813474048 = 2873113945691
BaseRepresentation
bin1010010001001010101…
…00100110000100000000
31020201200011210111012111
411020211110212010000
521240030222132143
6430025201105104
734330022022340
oct5104524460400
91221604714174
10352813474048
1112669a010012
1258464628194
1327368735779
141310d3a2d20
15929e05099d
hex5225526100

352813474048 has 144 divisors (see below), whose sum is σ = 836814254080. Its totient is φ = 145272268800.

The previous prime is 352813473979. The next prime is 352813474051. The reversal of 352813474048 is 840474318253.

It is a junction number, because it is equal to n+sod(n) for n = 352813473992 and 352813474010.

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, 7698883 + ... + 7744573.

Almost surely, 2352813474048 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 352813474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418407127040).

352813474048 is an abundant number, since it is smaller than the sum of its proper divisors (484000780032).

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

352813474048 is a wasteful number, since it uses less digits than its factorization.

352813474048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45884 (or 45870 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 352813474048 in words is "three hundred fifty-two billion, eight hundred thirteen million, four hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 139 217 224 248 256 278 434 448 496 556 868 896 973 992 1112 1736 1792 1946 1984 2224 3472 3892 3968 4309 4448 6944 7784 7936 8618 8896 13888 15568 17236 17792 27776 30163 31136 34472 35584 45691 55552 60326 62272 68944 91382 120652 124544 137888 182764 241304 249088 275776 319837 365528 482608 551552 639674 731056 965216 1103104 1279348 1416421 1462112 1930432 2558696 2832842 2924224 3860864 5117392 5665684 5848448 6351049 7721728 9914947 10234784 11331368 11696896 12702098 19829894 20469568 22662736 25404196 39659788 40939136 44457343 45325472 50808392 79319576 81878272 88914686 90650944 101616784 158639152 177829372 181301888 196882519 203233568 317278304 355658744 362603776 393765038 406467136 634556608 711317488 787530076 812934272 1269113216 1378177633 1422634976 1575060152 1625868544 2538226432 2756355266 2845269952 3150120304 5512710532 5690539904 6300240608 11025421064 11381079808 12600481216 22050842128 25200962432 44101684256 50401924864 88203368512 176406737024 352813474048