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354942032850 = 232526112930493
BaseRepresentation
bin1010010101001000011…
…00011001101111010010
31020221011112001110221200
411022210030121233102
521303410130022400
6431020315332030
734433536333206
oct5124414315722
91227145043850
10354942032850
11127591584819
1258959451016
1327617712612
1413271d64b06
159375d59b00
hex52a4319bd2

354942032850 has 72 divisors (see below), whose sum is σ = 969243969252. Its totient is φ = 93099542400.

The previous prime is 354942032849. The next prime is 354942032869. The reversal of 354942032850 is 58230249453.

354942032850 is a `hidden beast` number, since 3 + 549 + 4 + 20 + 3 + 2 + 85 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8107021521 + 346835011329 = 90039^2 + 588927^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 354942032796 and 354942032805.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6437797 + ... + 6492696.

Almost surely, 2354942032850 is an apocalyptic number.

354942032850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

354942032850 is an abundant number, since it is smaller than the sum of its proper divisors (614301936402).

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

354942032850 is a wasteful number, since it uses less digits than its factorization.

354942032850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930572 (or 12930564 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 354942032850 in words is "three hundred fifty-four billion, nine hundred forty-two million, thirty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 2745 3050 4575 5490 9150 13725 27450 12930493 25860986 38791479 64652465 77582958 116374437 129304930 193957395 232748874 323262325 387914790 581872185 646524650 788760073 969786975 1163744370 1577520146 1939573950 2366280219 2909360925 3943800365 4732560438 5818721850 7098840657 7887600730 11831401095 14197681314 19719001825 23662802190 35494203285 39438003650 59157005475 70988406570 118314010950 177471016425 354942032850