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54213210395136 = 293213905001509
BaseRepresentation
bin11000101001110011111110…
…01001011101001000000000
321002221201202211211020220100
430110321333021131020000
524101212123330121021
6311145112142042400
714263526615036622
oct1424717711351000
9232851684736810
1054213210395136
1116301769a29291
1260b6a72579400
13243338c696220
14d55d0d2c0c12
15640323c00626
hex314e7f25d200

54213210395136 has 120 divisors (see below), whose sum is σ = 168498611140860. Its totient is φ = 16680987795456.

The previous prime is 54213210395117. The next prime is 54213210395137. The reversal of 54213210395136 is 63159301231245.

54213210395136 is a `hidden beast` number, since 5 + 4 + 2 + 13 + 210 + 395 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51497042708736 + 2716167686400 = 7176144^2 + 1648080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54213210395091 and 54213210395100.

It is not an unprimeable number, because it can be changed into a prime (54213210395137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452440851 + ... + 452560658.

Almost surely, 254213210395136 is an apocalyptic number.

It is an amenable number.

54213210395136 is an abundant number, since it is smaller than the sum of its proper divisors (114285400745724).

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

54213210395136 is a wasteful number, since it uses less digits than its factorization.

54213210395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905001546 (or 905001527 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 54213210395136 in words is "fifty-four trillion, two hundred thirteen billion, two hundred ten million, three hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 905001509 1810003018 2715004527 3620006036 5430009054 7240012072 8145013581 10860018108 11765019617 14480024144 16290027162 21720036216 23530039234 28960048288 32580054324 35295058851 43440072432 47060078468 57920096576 65160108648 70590117702 86880144864 94120156936 105885176553 115840193152 130320217296 141180235404 173760289728 188240313872 211770353106 231680386304 260640434592 282360470808 347520579456 376480627744 423540706212 463360772608 521280869184 564720941616 695041158912 752961255488 847081412424 1042561738368 1129441883232 1390082317824 1505922510976 1694162824848 2085123476736 2258883766464 3011845021952 3388325649696 4170246953472 4517767532928 6023690043904 6776651299392 9035535065856 13553302598784 18071070131712 27106605197568 54213210395136