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21674627464431 = 31719711492114381
BaseRepresentation
bin1001110110110100001000…
…11110000111110011101111
32211202002000001110222100010
410323122010132013303233
510320104114112330211
6114033104132304303
74364640321426354
oct473320436076357
984662001428303
1021674627464431
1169a7181169067
122520830a72093
13c12ba7269546
1454d0b3d6a62b
15278c17e464a6
hex13b684787cef

21674627464431 has 64 divisors (see below), whose sum is σ = 32882868864000. Its totient is φ = 12617266636800.

The previous prime is 21674627464429. The next prime is 21674627464433. The reversal of 21674627464431 is 13446472647612.

It is an interprime number because it is at equal distance from previous prime (21674627464429) and next prime (21674627464433).

It is not a de Polignac number, because 21674627464431 - 21 = 21674627464429 is a prime.

It is a super-2 number, since 2×216746274644312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21674627464433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9193861 + ... + 11308241.

It is an arithmetic number, because the mean of its divisors is an integer number (513794826000).

Almost surely, 221674627464431 is an apocalyptic number.

21674627464431 is a deficient number, since it is larger than the sum of its proper divisors (11208241399569).

21674627464431 is a wasteful number, since it uses less digits than its factorization.

21674627464431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114640.

The product of its digits is 32514048, while the sum is 57.

The spelling of 21674627464431 in words is "twenty-one trillion, six hundred seventy-four billion, six hundred twenty-seven million, four hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 17 19 51 57 71 149 213 323 447 969 1207 1349 2533 2831 3621 4047 7599 8493 10579 22933 31737 48127 68799 144381 179843 201001 539529 603003 2114381 3417017 6343143 10251051 35944477 40173239 107833431 120519717 150121051 315042769 450363153 682945063 945128307 2048835189 2552057867 2852299969 5355727073 5985812611 7656173601 8556899907 16067181219 17957437833 22368036599 48489099473 67104109797 101758814387 145467298419 305276443161 380256622183 424992695381 1140769866549 1274978086143 7224875821477 21674627464431