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5046907140 = 223251114917107
BaseRepresentation
bin1001011001101000…
…11011000100000100
3111000201122110001200
410230310123010010
540314002012030
62152444422500
7236032000662
oct45464330404
914021573050
105046907140
11215a936040
12b8a247a30
136257a32b2
1435c3d1c32
151e811ed60
hex12cd1b104

5046907140 has 144 divisors (see below), whose sum is σ = 16813742400. Its totient is φ = 1215210240.

The previous prime is 5046907121. The next prime is 5046907157. The reversal of 5046907140 is 417096405.

5046907140 is a `hidden beast` number, since 50 + 469 + 0 + 7 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5046907095 and 5046907104.

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 47 ways as a sum of consecutive naturals, for example, 286467 + ... + 303573.

It is an arithmetic number, because the mean of its divisors is an integer number (116762100).

Almost surely, 25046907140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5046907140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406871200).

5046907140 is an abundant number, since it is smaller than the sum of its proper divisors (11766835260).

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

5046907140 is a wasteful number, since it uses less digits than its factorization.

5046907140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17282 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5046907140 is about 71041.5873978052. The cubic root of 5046907140 is about 1715.3066501389.

The spelling of 5046907140 in words is "five billion, forty-six million, nine hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 149 165 180 198 220 298 330 396 447 495 596 660 745 894 990 1341 1490 1639 1788 1980 2235 2682 2980 3278 4470 4917 5364 6556 6705 8195 8940 9834 13410 14751 16390 17107 19668 24585 26820 29502 32780 34214 49170 51321 59004 68428 73755 85535 98340 102642 147510 153963 171070 188177 205284 256605 295020 307926 342140 376354 513210 564531 615852 752708 769815 940885 1026420 1129062 1539630 1693593 1881770 2258124 2548943 2822655 3079260 3387186 3763540 5097886 5645310 6774372 7646829 8467965 10195772 11290620 12744715 15293658 16935930 22940487 25489430 28038373 30587316 33871860 38234145 45880974 50978860 56076746 76468290 84115119 91761948 112153492 114702435 140191865 152936580 168230238 229404870 252345357 280383730 336460476 420575595 458809740 504690714 560767460 841151190 1009381428 1261726785 1682302380 2523453570 5046907140