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21457983024096 = 2531911764245079
BaseRepresentation
bin1001110000100000100110…
…11101001010101111100000
32210222100210201202010002120
410320100103131022233200
510303031422123232341
6113345354502144240
74343200552162263
oct470202335125740
983870721663076
1021457983024096
116923309010553
1224a684b122080
13bc862c808908
145428014c2cda
15273288631066
hex13841374abe0

21457983024096 has 48 divisors (see below), whose sum is σ = 59291795203200. Its totient is φ = 6776205164928.

The previous prime is 21457983024083. The next prime is 21457983024097. The reversal of 21457983024096 is 69042038975412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21457983024097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5882120716 + ... + 5882124363.

It is an arithmetic number, because the mean of its divisors is an integer number (1235245733400).

It is a 1-persistent number, because it is pandigital, but 2⋅21457983024096 = 42915966048192 is not.

Almost surely, 221457983024096 is an apocalyptic number.

It is an amenable number.

21457983024096 is an abundant number, since it is smaller than the sum of its proper divisors (37833812179104).

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

21457983024096 is a wasteful number, since it uses less digits than its factorization.

21457983024096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11764245111 (or 11764245103 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 21457983024096 in words is "twenty-one trillion, four hundred fifty-seven billion, nine hundred eighty-three million, twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 11764245079 23528490158 35292735237 47056980316 70585470474 94113960632 141170940948 188227921264 223520656501 282341881896 376455842528 447041313002 564683763792 670561969503 894082626004 1129367527584 1341123939006 1788165252008 2682247878012 3576330504016 5364495756024 7152661008032 10728991512048 21457983024096