Search a number
-
+
20938368096 = 2532611191847
BaseRepresentation
bin10011100000000001…
…100010010001100000
32000001020020022021200
4103200001202101200
5320340210234341
613341405521200
71340605122642
oct234001422140
960036208250
1020938368096
118975187948
124084273200
131c88c16129
141028b8c892
15828325db6
hex4e0062460

20938368096 has 72 divisors (see below), whose sum is σ = 60519657744. Its totient is φ = 6865032960.

The previous prime is 20938368091. The next prime is 20938368127. The reversal of 20938368096 is 69086383902.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20938368091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578356 + ... + 613491.

It is an arithmetic number, because the mean of its divisors is an integer number (840550802).

Almost surely, 220938368096 is an apocalyptic number.

It is an amenable number.

20938368096 is an abundant number, since it is smaller than the sum of its proper divisors (39581289648).

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

20938368096 is a wasteful number, since it uses less digits than its factorization.

20938368096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191924 (or 1191913 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20938368096 in words is "twenty billion, nine hundred thirty-eight million, three hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 1191847 2383694 3575541 4767388 7151082 9534776 10726623 14302164 19069552 21453246 28604328 38139104 42906492 57208656 72702667 85812984 114417312 145405334 171625968 218108001 290810668 343251936 436216002 581621336 654324003 872432004 1163242672 1308648006 1744864008 2326485344 2617296012 3489728016 5234592024 6979456032 10469184048 20938368096