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4735940874 = 2371929375531
BaseRepresentation
bin1000110100100100…
…01011100100001010
3110020001111201112120
410122102023210022
534144400101444
62101535352110
7225234555540
oct43222134412
913201451476
104735940874
112010351525
12b02082636
135a6235ba2
1432cda5d90
151cab96b19
hex11a48b90a

4735940874 has 128 divisors (see below), whose sum is σ = 12108441600. Its totient is φ = 1204035840.

The previous prime is 4735940849. The next prime is 4735940917. The reversal of 4735940874 is 4780495374.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853489 + ... + 859019.

It is an arithmetic number, because the mean of its divisors is an integer number (94597200).

Almost surely, 24735940874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735940874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054220800).

4735940874 is an abundant number, since it is smaller than the sum of its proper divisors (7372500726).

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

4735940874 is a wasteful number, since it uses less digits than its factorization.

4735940874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628.

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 4735940874 is about 68818.1725563822. The cubic root of 4735940874 is about 1679.3275930134.

The spelling of 4735940874 in words is "four billion, seven hundred thirty-five million, nine hundred forty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 19 21 29 37 38 42 57 58 74 87 111 114 133 174 203 222 259 266 399 406 518 551 609 703 777 798 1073 1102 1218 1406 1554 1653 2109 2146 3219 3306 3857 4218 4921 5531 6438 7511 7714 9842 11062 11571 14763 15022 16593 20387 22533 23142 29526 33186 38717 40774 45066 61161 77434 105089 116151 122322 142709 160399 204647 210178 232302 285418 315267 320798 409294 428127 481197 613941 630534 735623 856254 962394 1122793 1227882 1432529 1471246 2206869 2245586 2865058 3047581 3368379 3888293 4297587 4413738 5934763 6095162 6736758 7776586 8595174 9142743 11664879 11869526 17804289 18285486 21333067 23329758 27218051 35608578 41543341 42666134 54436102 63999201 81654153 83086682 112760497 124630023 127998402 163308306 225520994 249260046 338281491 676562982 789323479 1578646958 2367970437 4735940874