Search a number
-
+
2518139070 = 2335101107863
BaseRepresentation
bin1001011000010111…
…1100000010111110
320111111022201102000
42112011330002332
520124120422240
61053512243130
7116254554216
oct22605740276
96444281360
102518139070
111082473177
125a33a04a6
13311910825
1419c613246
15eb110430
hex9617c0be

2518139070 has 128 divisors (see below), whose sum is σ = 6852833280. Its totient is φ = 657878400.

The previous prime is 2518139017. The next prime is 2518139087. The reversal of 2518139070 is 709318152.

2518139070 is a `hidden beast` number, since 2 + 518 + 139 + 0 + 7 + 0 = 666.

2518139070 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2917459 + ... + 2918321.

It is an arithmetic number, because the mean of its divisors is an integer number (53537760).

Almost surely, 22518139070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2518139070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426416640).

2518139070 is an abundant number, since it is smaller than the sum of its proper divisors (4334694210).

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

2518139070 is a wasteful number, since it uses less digits than its factorization.

2518139070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 2518139070 is about 50181.0628623986. The cubic root of 2518139070 is about 1360.4833687669.

The spelling of 2518139070 in words is "two billion, five hundred eighteen million, one hundred thirty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 107 135 202 214 270 303 321 505 535 606 642 863 909 963 1010 1070 1515 1605 1726 1818 1926 2589 2727 2889 3030 3210 4315 4545 4815 5178 5454 5778 7767 8630 9090 9630 10807 12945 13635 14445 15534 21614 23301 25890 27270 28890 32421 38835 46602 54035 64842 77670 87163 92341 97263 108070 116505 162105 174326 184682 194526 233010 261489 277023 291789 324210 435815 461705 486315 522978 554046 583578 784467 831069 871630 923410 972630 1307445 1385115 1458945 1568934 1662138 2353401 2493207 2614890 2770230 2917890 3922335 4155345 4706802 4986414 7844670 8310690 9326441 11767005 12466035 18652882 23534010 24932070 27979323 46632205 55958646 83937969 93264410 139896615 167875938 251813907 279793230 419689845 503627814 839379690 1259069535 2518139070