Search a number
-
+
21517706152240 = 2451719338185123
BaseRepresentation
bin1001110010001111110110…
…01110110100100100110000
32211012001221221100101001121
410321013323032310210300
510310021230233332430
6113433033040112024
74350413550325354
oct471077316644460
984161857311047
1021517706152240
1169466761806a1
1224b6338305614
13c01159aa51ac
145456692a3464
15274ad18e2a7a
hex1391fb3b4930

21517706152240 has 80 divisors (see below), whose sum is σ = 52998939823968. Its totient is φ = 8096591720448.

The previous prime is 21517706152231. The next prime is 21517706152247. The reversal of 21517706152240 is 4225160771512.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21517706152247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463682 + ... + 6721441.

Almost surely, 221517706152240 is an apocalyptic number.

21517706152240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21517706152240 is an abundant number, since it is smaller than the sum of its proper divisors (31481233671728).

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

21517706152240 is a wasteful number, since it uses less digits than its factorization.

21517706152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187086 (or 8187080 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 21517706152240 in words is "twenty-one trillion, five hundred seventeen billion, seven hundred six million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1933 3866 7732 9665 15464 19330 30928 32861 38660 65722 77320 131444 154640 164305 262888 328610 525776 657220 1314440 2628880 8185123 16370246 32740492 40925615 65480984 81851230 130961968 139147091 163702460 278294182 327404920 556588364 654809840 695735455 1113176728 1391470910 2226353456 2782941820 5565883640 11131767280 15821842759 31643685518 63287371036 79109213795 126574742072 158218427590 253149484144 268971326903 316436855180 537942653806 632873710360 1075885307612 1265747420720 1344856634515 2151770615224 2689713269030 4303541230448 5379426538060 10758853076120 21517706152240