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2138878488 = 2331941233491
BaseRepresentation
bin111111101111100…
…1011001000011000
312112001200021200210
41333133023020120
513340023102423
6552123331120
7104001111225
oct17737131030
95461607623
102138878488
119a838307a
124b8380aa0
13281181096
141640ca94c
15c7b96b93
hex7f7cb218

2138878488 has 128 divisors (see below), whose sum is σ = 5802451200. Its totient is φ = 654796800.

The previous prime is 2138878487. The next prime is 2138878513. The reversal of 2138878488 is 8848788312.

It is a super-2 number, since 2×21388784882 = 9149602372858332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138878487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4355923 + ... + 4356413.

It is an arithmetic number, because the mean of its divisors is an integer number (45331650).

Almost surely, 22138878488 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 2138878488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901225600).

2138878488 is an abundant number, since it is smaller than the sum of its proper divisors (3663572712).

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

2138878488 is a wasteful number, since it uses less digits than its factorization.

2138878488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 57.

The square root of 2138878488 is about 46248.0106382966. The cubic root of 2138878488 is about 1288.4335869677.

The spelling of 2138878488 in words is "two billion, one hundred thirty-eight million, eight hundred seventy-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 233 246 328 456 466 491 492 699 779 932 982 984 1398 1473 1558 1864 1964 2337 2796 2946 3116 3928 4427 4674 5592 5892 6232 8854 9329 9348 9553 11784 13281 17708 18658 18696 19106 20131 26562 27987 28659 35416 37316 38212 40262 53124 55974 57318 60393 74632 76424 80524 106248 111948 114403 114636 120786 161048 181507 223896 228806 229272 241572 343209 363014 382489 457612 483144 544521 686418 726028 764978 915224 1089042 1147467 1372836 1452056 1529956 2173657 2178084 2294934 2745672 3059912 4347314 4356168 4589868 4690523 6520971 8694628 9179736 9381046 13041942 14071569 17389256 18762092 26083884 28143138 37524184 52167768 56286276 89119937 112572552 178239874 267359811 356479748 534719622 712959496 1069439244 2138878488