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21477420432 = 2433132294179
BaseRepresentation
bin10100000000001001…
…110110110110010000
32001102210120000002000
4110000021312312100
5322441204423212
613511103354000
71360142030046
oct240011666620
961383500060
1021477420432
119121497946
1241b48b2900
1320437c2600
14107a5cc396
1585a8051dc
hex500276d90

21477420432 has 120 divisors (see below), whose sum is σ = 66755325600. Its totient is φ = 6608414592.

The previous prime is 21477420421. The next prime is 21477420439. The reversal of 21477420432 is 23402477412.

21477420432 is a `hidden beast` number, since 214 + 7 + 7 + 4 + 2 + 0 + 432 = 666.

It is a super-2 number, since 2×214774204322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21477420439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74082 + ... + 220097.

It is an arithmetic number, because the mean of its divisors is an integer number (556294380).

Almost surely, 221477420432 is an apocalyptic number.

It is an amenable number.

21477420432 is an abundant number, since it is smaller than the sum of its proper divisors (45277905168).

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

21477420432 is a wasteful number, since it uses less digits than its factorization.

21477420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294222 (or 294197 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 21477420432 its reverse (23402477412), we get a palindrome (44879897844).

The spelling of 21477420432 in words is "twenty-one billion, four hundred seventy-seven million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2808 3042 4056 4563 5616 6084 8112 9126 12168 18252 24336 36504 73008 294179 588358 882537 1176716 1765074 2353432 2647611 3530148 3824327 4706864 5295222 7060296 7648654 7942833 10590444 11472981 14120592 15297308 15885666 21180888 22945962 30594616 31771332 34418943 42361776 45891924 49716251 61189232 63542664 68837886 91783848 99432502 103256829 127085328 137675772 149148753 183567696 198865004 206513658 275351544 298297506 397730008 413027316 447446259 550703088 596595012 795460016 826054632 894892518 1193190024 1342338777 1652109264 1789785036 2386380048 2684677554 3579570072 5369355108 7159140144 10738710216 21477420432