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1304631151164 = 22321117316251467
BaseRepresentation
bin10010111111000010000…
…100111000101000111100
311121201110222200022022100
4102333002010320220330
5132333341033314124
62435201141145100
7163153655545665
oct22770204705074
94551428608270
101304631151164
11463322300650
12190a1a3bb190
1396045700683
144720467436c
1523e0a7bd1c9
hex12fc2138a3c

1304631151164 has 144 divisors (see below), whose sum is σ = 3932123360256. Its totient is φ = 360084441600.

The previous prime is 1304631151129. The next prime is 1304631151193. The reversal of 1304631151164 is 4611511364031.

1304631151164 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 631 + 1 + 5 + 1 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2917042 + ... + 3334425.

It is an arithmetic number, because the mean of its divisors is an integer number (27306412224).

Almost surely, 21304631151164 is an apocalyptic number.

It is an amenable number.

1304631151164 is an abundant number, since it is smaller than the sum of its proper divisors (2627492209092).

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

1304631151164 is a wasteful number, since it uses less digits than its factorization.

1304631151164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251536 (or 6251531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1304631151164 in words is "one trillion, three hundred four billion, six hundred thirty-one million, one hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 124 132 153 186 187 198 204 279 306 341 372 374 396 527 558 561 612 682 748 1023 1054 1116 1122 1364 1581 1683 2046 2108 2244 3069 3162 3366 4092 4743 5797 6138 6324 6732 9486 11594 12276 17391 18972 23188 34782 52173 69564 104346 208692 6251467 12502934 18754401 25005868 37508802 56263203 68766137 75017604 106274939 112526406 137532274 193795477 206298411 212549878 225052812 275064548 318824817 387590954 412596822 425099756 581386431 618895233 637649634 775181908 825193644 956474451 1162772862 1169024329 1237790466 1275299268 1744159293 1912948902 2131750247 2325545724 2338048658 2475580932 3294523109 3488318586 3507072987 3825897804 4263500494 4676097316 6395250741 6589046218 6976637172 7014145974 8527000988 9883569327 10521218961 12790501482 13178092436 14028291948 19185752223 19767138654 21042437922 25581002964 29650707981 36239754199 38371504446 39534277308 42084875844 59301415962 72479508398 76743008892 108719262597 118602831924 144959016796 217438525194 326157787791 434877050388 652315575582 1304631151164