Search a number
-
+
20965234463968 = 252341694765193
BaseRepresentation
bin1001100010001010110010…
…10110100101010011100000
32202020020221020101201022011
410301011121112211103200
510221443300010321333
6112331143514322304
74262455024422004
oct461053126452340
982206836351264
1020965234463968
116753340324173
122427252729394
13b91022abb982
14526a1938c704
152655494329cd
hex1311595a54e0

20965234463968 has 48 divisors (see below), whose sum is σ = 44120368879776. Its totient is φ = 9782293903360.

The previous prime is 20965234463933. The next prime is 20965234464007. The reversal of 20965234463968 is 86936443256902.

It is a super-2 number, since 2×209652344639682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347352421 + ... + 347412772.

It is an arithmetic number, because the mean of its divisors is an integer number (919174351662).

Almost surely, 220965234463968 is an apocalyptic number.

It is an amenable number.

20965234463968 is an abundant number, since it is smaller than the sum of its proper divisors (23155134415808).

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

20965234463968 is a wasteful number, since it uses less digits than its factorization.

20965234463968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694765267 (or 694765259 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 67.

The spelling of 20965234463968 in words is "twenty trillion, nine hundred sixty-five billion, two hundred thirty-four million, four hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3772 7544 15088 30176 694765193 1389530386 2779060772 5558121544 11116243088 15979599439 22232486176 28485372913 31959198878 56970745826 63918397756 113941491652 127836795512 227882983304 255673591024 455765966608 511347182048 655163576999 911531933216 1310327153998 2620654307996 5241308615992 10482617231984 20965234463968