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3413995050 = 235219267941
BaseRepresentation
bin1100101101111101…
…0110111000101010
322210221000220210010
43023133112320222
523442440320200
61322433432350
7150413323224
oct31337267052
98727026703
103413995050
1114a2125014
127b340b6b6
134253b5c1b
142455b1414
1514eabe150
hexcb7d6e2a

3413995050 has 144 divisors (see below), whose sum is σ = 9078784992. Its totient is φ = 848707200.

The previous prime is 3413995037. The next prime is 3413995099. The reversal of 3413995050 is 505993143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3627580 + ... + 3628520.

It is an arithmetic number, because the mean of its divisors is an integer number (63047118).

Almost surely, 23413995050 is an apocalyptic number.

3413995050 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 3413995050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539392496).

3413995050 is an abundant number, since it is smaller than the sum of its proper divisors (5664789942).

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

3413995050 is a wasteful number, since it uses less digits than its factorization.

3413995050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 3413995050 is about 58429.4022731707. The cubic root of 3413995050 is about 1505.7549366767.

The spelling of 3413995050 in words is "three billion, four hundred thirteen million, nine hundred ninety-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 67 75 95 114 134 150 190 201 285 335 361 402 475 570 670 722 941 950 1005 1083 1273 1425 1675 1805 1882 2010 2166 2546 2823 2850 3350 3610 3819 4705 5025 5415 5646 6365 7638 9025 9410 10050 10830 12730 14115 17879 18050 19095 23525 24187 27075 28230 31825 35758 38190 47050 48374 53637 54150 63047 63650 70575 72561 89395 95475 107274 120935 126094 141150 145122 178790 189141 190950 241870 268185 315235 339701 362805 378282 446975 536370 604675 630470 679402 725610 893950 945705 1019103 1197893 1209350 1340925 1576175 1698505 1814025 1891410 2038206 2395786 2681850 3152350 3397010 3593679 3628050 4728525 5095515 5989465 7187358 8492525 9457050 10191030 11978930 16985050 17968395 22759967 25477575 29947325 35936790 45519934 50955150 59894650 68279901 89841975 113799835 136559802 179683950 227599670 341399505 568999175 682799010 1137998350 1706997525 3413995050