Search a number
-
+
21073635540432 = 2433281173599871
BaseRepresentation
bin1001100101010100101101…
…00011110111110111010000
32202121121201220010221221000
410302222112203313313100
510230232301144243212
6112453032225502000
74303343222364546
oct462522643676720
982547656127830
1021073635540432
116795307968372
122444265aa1900
13b9b309c6ba77
1452bd8007bd96
15268290e901dc
hex132a968f7dd0

21073635540432 has 80 divisors (see below), whose sum is σ = 60704403240960. Its totient is φ = 6999546758400.

The previous prime is 21073635540343. The next prime is 21073635540439. The reversal of 21073635540432 is 23404553637012.

It is a happy number.

21073635540432 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 3 + 63 + 5 + 540 + 43 + 2 = 666.

It is a super-2 number, since 2×210736355404322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21073635540439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86678544 + ... + 86921327.

It is an arithmetic number, because the mean of its divisors is an integer number (758805040512).

Almost surely, 221073635540432 is an apocalyptic number.

It is an amenable number.

21073635540432 is an abundant number, since it is smaller than the sum of its proper divisors (39630767700528).

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

21073635540432 is a wasteful number, since it uses less digits than its factorization.

21073635540432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173600169 (or 173600157 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 21073635540432 in words is "twenty-one trillion, seventy-three billion, six hundred thirty-five million, five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 3372 4496 5058 6744 7587 10116 13488 15174 20232 30348 40464 60696 121392 173599871 347199742 520799613 694399484 1041599226 1388798968 1562398839 2083198452 2777597936 3124797678 4166396904 4687196517 6249595356 8332793808 9374393034 12499190712 18748786068 24998381424 37497572136 48781563751 74995144272 97563127502 146344691253 195126255004 292689382506 390252510008 439034073759 585378765012 780505020016 878068147518 1170757530024 1317102221277 1756136295036 2341515060048 2634204442554 3512272590072 5268408885108 7024545180144 10536817770216 21073635540432