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54361300021410 = 2356179643584791
BaseRepresentation
bin11000101110000111110011…
…11110100011000010100010
321010110220000110120201200110
430113003321332203002202
524111123420301141120
6311341123024432150
714310321456064314
oct1427037176430242
9233426013521613
1054361300021410
1116359552736378
12611b701478656
13244433021c115
14d5d15b0677b4
156440dec232e0
hex3170f9fa30a2

54361300021410 has 128 divisors (see below), whose sum is σ = 134493551861760. Its totient is φ = 14056293139200.

The previous prime is 54361300021361. The next prime is 54361300021513. The reversal of 54361300021410 is 1412000316345.

54361300021410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 92666115 + ... + 93250905.

It is an arithmetic number, because the mean of its divisors is an integer number (1050730873920).

Almost surely, 254361300021410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54361300021410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67246775930880).

54361300021410 is an abundant number, since it is smaller than the sum of its proper divisors (80132251840350).

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

54361300021410 is a wasteful number, since it uses less digits than its factorization.

54361300021410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585584.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 54361300021410 its reverse (1412000316345), we get a palindrome (55773300337755).

The spelling of 54361300021410 in words is "fifty-four trillion, three hundred sixty-one billion, three hundred million, twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 79 122 158 183 237 305 366 395 474 610 643 790 915 1185 1286 1830 1929 2370 3215 3858 4819 6430 9638 9645 14457 19290 24095 28914 39223 48190 50797 72285 78446 101594 117669 144570 152391 196115 235338 253985 304782 392230 507970 584791 588345 761955 1169582 1176690 1523910 1754373 2923955 3098617 3508746 5847910 6197234 8771865 9295851 15493085 17543730 18591702 30986170 35672251 46198489 46479255 71344502 92396978 92958510 107016753 138595467 178361255 214033506 230992445 277190934 356722510 376020613 461984890 535083765 692977335 752041226 1070167530 1128061839 1385954670 1880103065 2256123678 2818107829 3760206130 5636215658 5640309195 8454323487 11280618390 14090539145 16908646974 22937257393 28181078290 29705628427 42271617435 45874514786 59411256854 68811772179 84543234870 89116885281 114686286965 137623544358 148528142135 178233770562 229372573930 297056284270 344058860895 445584426405 688117721790 891168852810 1812043334047 3624086668094 5436130002141 9060216670235 10872260004282 18120433340470 27180650010705 54361300021410