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354033232050 = 235271155921323
BaseRepresentation
bin1010010011011100000…
…01100110100010110010
31020211211011222121121210
411021232001212202302
521300030001411200
6430350212500550
734402162551201
oct5115601464262
91224734877553
10354033232050
11127165591283
125874501a756
1327501357174
14131c7397238
159321190650
hex526e0668b2

354033232050 has 96 divisors (see below), whose sum is σ = 890981544960. Its totient is φ = 93015092800.

The previous prime is 354033232013. The next prime is 354033232051. The reversal of 354033232050 is 50232330453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354033231999 and 354033232017.

It is not an unprimeable number, because it can be changed into a prime (354033232051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16592689 + ... + 16614011.

It is an arithmetic number, because the mean of its divisors is an integer number (9281057760).

Almost surely, 2354033232050 is an apocalyptic number.

354033232050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354033232050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445490772480).

354033232050 is an abundant number, since it is smaller than the sum of its proper divisors (536948312910).

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

354033232050 is a wasteful number, since it uses less digits than its factorization.

354033232050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22968 (or 22963 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 354033232050 in words is "three hundred fifty-four billion, thirty-three million, two hundred thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 426 710 1065 1559 1775 2130 3118 3550 4677 5325 7795 9354 10650 15590 21323 23385 38975 42646 46770 63969 77950 106615 110689 116925 127938 213230 221378 233850 319845 332067 533075 553445 639690 664134 1066150 1106890 1513933 1599225 1660335 2767225 3027866 3198450 3320670 4541799 5534450 7569665 8301675 9083598 15139330 16603350 22708995 33242557 37848325 45417990 66485114 75696650 99727671 113544975 166212785 199455342 227089950 332425570 498638355 831063925 997276710 1662127850 2360221547 2493191775 4720443094 4986383550 7080664641 11801107735 14161329282 23602215470 35403323205 59005538675 70806646410 118011077350 177016616025 354033232050