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4600423002 = 2373153163409
BaseRepresentation
bin1000100100011010…
…01110001001011010
3102212121111200222010
410102031032021122
533410202014002
62040255010350
7222000643650
oct42215161132
912777450863
104600423002
111a5090098a
12a848099b6
135841379b6
14318daadd0
151bdd2846c
hex11234e25a

4600423002 has 128 divisors (see below), whose sum is σ = 11154309120. Its totient is φ = 1237317120.

The previous prime is 4600422991. The next prime is 4600423063. The reversal of 4600423002 is 2003240064.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4600423002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11247774 + ... + 11248182.

It is an arithmetic number, because the mean of its divisors is an integer number (87143040).

Almost surely, 24600423002 is an apocalyptic number.

4600423002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4600423002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577154560).

4600423002 is an abundant number, since it is smaller than the sum of its proper divisors (6553886118).

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

4600423002 is a wasteful number, since it uses less digits than its factorization.

4600423002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4600423002 is about 67826.4181716829. The cubic root of 4600423002 is about 1663.1544752570.

Adding to 4600423002 its reverse (2003240064), we get a palindrome (6603663066).

It can be divided in two parts, 46004 and 23002, that added together give a triangular number (69006 = T371).

The spelling of 4600423002 in words is "four billion, six hundred million, four hundred twenty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 31 42 53 62 93 106 159 163 186 217 318 326 371 409 434 489 651 742 818 978 1113 1141 1227 1302 1643 2226 2282 2454 2863 3286 3423 4929 5053 5726 6846 8589 8639 9858 10106 11501 12679 15159 17178 17278 21677 23002 25358 25917 30318 34503 35371 38037 43354 51834 60473 65031 66667 69006 70742 76074 88753 106113 120946 130062 133334 151739 177506 181419 200001 212226 266259 267809 303478 362838 400002 455217 466669 532518 535618 671987 803427 910434 933338 1343974 1400007 1606854 1874663 2015961 2066677 2800014 3533351 3749326 4031922 4133354 4703909 5623989 6200031 7066702 9407818 10600053 11247978 12400062 14111727 14466739 21200106 24733457 28223454 28933478 43400217 49466914 74200371 86800434 109533881 148400742 219067762 328601643 657203286 766737167 1533474334 2300211501 4600423002