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2138712534 = 232747409883
BaseRepresentation
bin111111101111010…
…0010100111010110
312112001100212001100
41333132202213112
513340002300114
6552120010530
7103666520340
oct17736424726
95461325040
102138712534
119a827a422
124b8300a46
1328112369a
14164086290
15c7b62909
hex7f7a29d6

2138712534 has 96 divisors (see below), whose sum is σ = 5427901440. Its totient is φ = 595921536.

The previous prime is 2138712533. The next prime is 2138712553. The reversal of 2138712534 is 4352178312.

2138712534 is a `hidden beast` number, since 21 + 38 + 71 + 2 + 534 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138712533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421657 + ... + 2422539.

It is an arithmetic number, because the mean of its divisors is an integer number (56540640).

Almost surely, 22138712534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138712534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713950720).

2138712534 is an abundant number, since it is smaller than the sum of its proper divisors (3289188906).

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

2138712534 is a wasteful number, since it uses less digits than its factorization.

2138712534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1351 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2138712534 is about 46246.2164290226. The cubic root of 2138712534 is about 1288.4002632361.

The spelling of 2138712534 in words is "two billion, one hundred thirty-eight million, seven hundred twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 409 423 658 818 846 883 987 1227 1766 1974 2454 2649 2863 2961 3681 5298 5726 5922 6181 7362 7947 8589 12362 15894 17178 18543 19223 25767 37086 38446 41501 51534 55629 57669 83002 111258 115338 124503 134561 173007 249006 269122 290507 346014 361147 373509 403683 581014 722294 747018 807366 871521 1083441 1211049 1743042 2166882 2422098 2528029 2614563 3250323 5056058 5229126 6500646 7584087 15168174 16973909 22752261 33947818 45504522 50921727 101843454 118817363 152765181 237634726 305530362 356452089 712904178 1069356267 2138712534