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2136526938 = 2327135412411
BaseRepresentation
bin111111101011000…
…1101000001011010
312111220020210222100
41333112031001122
513333422330223
6552001104230
7103642115340
oct17726150132
95456223870
102136526938
119a7017347
124b7628076
13280839930
14163a77990
15c7880043
hex7f58d05a

2136526938 has 96 divisors (see below), whose sum is σ = 5710303872. Its totient is φ = 562204800.

The previous prime is 2136526921. The next prime is 2136526961. The reversal of 2136526938 is 8396256312.

2136526938 is a `hidden beast` number, since 2 + 1 + 36 + 526 + 93 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2136526893 and 2136526902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884953 + ... + 887363.

It is an arithmetic number, because the mean of its divisors is an integer number (59482332).

Almost surely, 22136526938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136526938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855151936).

2136526938 is an abundant number, since it is smaller than the sum of its proper divisors (3573776934).

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

2136526938 is a wasteful number, since it uses less digits than its factorization.

2136526938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2977 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2136526938 is about 46222.5803909734. The cubic root of 2136526938 is about 1287.9612324050.

The spelling of 2136526938 in words is "two billion, one hundred thirty-six million, five hundred twenty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 541 546 819 1082 1623 1638 2411 3246 3787 4822 4869 7033 7233 7574 9738 11361 14066 14466 16877 21099 21699 22722 31343 33754 34083 42198 43398 49231 50631 62686 63297 68166 94029 98462 101262 126594 147693 151893 188058 219401 282087 295386 303786 438802 443079 564174 658203 886158 1304351 1316406 1974609 2608702 3913053 3949218 7826106 9130457 11739159 16956563 18260914 23478318 27391371 33913126 50869689 54782742 82174113 101739378 118695941 152609067 164348226 237391882 305218134 356087823 712175646 1068263469 2136526938