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21307461947823 = 3478915727739043
BaseRepresentation
bin1001101100001000001111…
…01100110101000110101111
32210102222021122210011221210
410312010013230311012233
510243100140224312243
6113152302441125503
74326261525143232
oct466040754650657
983388248704853
1021307461947823
116875497870057
122481641a89893
13bb73923050cc
14539402851419
1526e3c8e23933
hex136107b351af

21307461947823 has 64 divisors (see below), whose sum is σ = 29634658375680. Its totient is φ = 13609314081792.

The previous prime is 21307461947819. The next prime is 21307461947833. The reversal of 21307461947823 is 32874916470312.

It is not a de Polignac number, because 21307461947823 - 22 = 21307461947819 is a prime.

It is a super-2 number, since 2×213074619478232 (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 (21307461947833) 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 63 ways as a sum of consecutive naturals, for example, 545723940 + ... + 545762982.

It is an arithmetic number, because the mean of its divisors is an integer number (463041537120).

Almost surely, 221307461947823 is an apocalyptic number.

21307461947823 is a deficient number, since it is larger than the sum of its proper divisors (8327196427857).

21307461947823 is a wasteful number, since it uses less digits than its factorization.

21307461947823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39616.

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 21307461947823 in words is "twenty-one trillion, three hundred seven billion, four hundred sixty-one million, nine hundred forty-seven thousand, eight hundred twenty-three".

Divisors: 1 3 47 89 141 157 267 277 471 831 4183 7379 12549 13019 13973 22137 24653 39043 39057 41919 43489 73959 117129 130467 656731 1158691 1835021 1970193 2043983 3474827 3476073 3870521 5505063 6129751 6131949 10424481 10814911 11611563 18389253 32444733 163316869 181914487 288098297 489950607 508300817 545547839 545743461 864294891 962527079 1524902451 1636643517 1697941027 2887581237 5093823081 25640748433 45238772713 76922245299 79803228269 135716318139 151116751403 239409684807 453350254209 7102487315941 21307461947823