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5010271727148 = 2234731177717987
BaseRepresentation
bin100100011101000101101…
…1101110110111000101100
3122201222101110011221010000
41020322023131312320230
51124042014030232043
614353404223144300
71024660130000412
oct110721335667054
918658343157100
105010271727148
111661931855166
1268b035a45090
132a460b16071c
141346d9a3d2b2
158a4de3a62d3
hex48e8b776e2c

5010271727148 has 120 divisors (see below), whose sum is σ = 13279128054192. Its totient is φ = 1646981185536.

The previous prime is 5010271727147. The next prime is 5010271727207. The reversal of 5010271727148 is 8417271720105.

It is a happy number.

5010271727148 is a `hidden beast` number, since 501 + 0 + 2 + 7 + 1 + 72 + 71 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5010271727141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278540611 + ... + 278558597.

Almost surely, 25010271727148 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 5010271727148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639564027096).

5010271727148 is an abundant number, since it is smaller than the sum of its proper divisors (8268856327044).

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

5010271727148 is a wasteful number, since it uses less digits than its factorization.

5010271727148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29853 (or 29842 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 5010271727148 in words is "five trillion, ten billion, two hundred seventy-one million, seven hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 11777 11826 17987 23554 23652 35331 35974 47108 53961 70662 71948 105993 107922 141324 161883 211986 215844 317979 323766 423972 485649 635958 647532 859721 953937 971298 1271916 1313051 1456947 1719442 1907874 1942596 2579163 2626102 2913894 3438884 3815748 3939153 5158326 5252204 5827788 7737489 7878306 10316652 11817459 15474978 15756612 23212467 23634918 30949956 35452377 46424934 47269836 69637401 70904754 92849868 106357131 139274802 141809508 211832899 212714262 278549604 423665798 425428524 635498697 847331596 1270997394 1906496091 2541994788 3812992182 5719488273 7625984364 11438976546 15463801627 17158464819 22877953092 30927603254 34316929638 46391404881 61855206508 68633859276 92782809762 139174214643 185565619524 278348429286 417522643929 556696858572 835045287858 1252567931787 1670090575716 2505135863574 5010271727148