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1353450768426 = 234371938871319
BaseRepresentation
bin10011101100011111111…
…100111100100000101010
311210101111022101211020000
4103230133330330200222
5134133331344042201
62513433335043430
7166532525466441
oct23543774744052
94711438354200
101353450768426
11481aa4746679
1219a383b10576
139a825a57073
14497162ddd58
15253166eed86
hex13b1ff3c82a

1353450768426 has 160 divisors (see below), whose sum is σ = 3136742357760. Its totient is φ = 435859605504.

The previous prime is 1353450768421. The next prime is 1353450768427. The reversal of 1353450768426 is 6248670543531.

1353450768426 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 507 + 6 + 84 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1353450768421) 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 79 ways as a sum of consecutive naturals, for example, 1026118195 + ... + 1026119513.

It is an arithmetic number, because the mean of its divisors is an integer number (19604639736).

Almost surely, 21353450768426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353450768426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568371178880).

1353450768426 is an abundant number, since it is smaller than the sum of its proper divisors (1783291589334).

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

1353450768426 is a wasteful number, since it uses less digits than its factorization.

1353450768426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 1353450768426 in words is "one trillion, three hundred fifty-three billion, four hundred fifty million, seven hundred sixty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 193 222 333 386 579 666 887 999 1158 1319 1737 1774 1998 2638 2661 2997 3474 3957 5211 5322 5994 7141 7914 7983 10422 11871 14282 15633 15966 21423 23742 23949 31266 32819 35613 42846 47898 48803 64269 65638 71226 71847 97606 98457 106839 128538 143694 146409 171191 192807 196914 213678 254567 292818 295371 342382 385614 439227 509134 513573 578421 590742 763701 878454 886113 1027146 1156842 1169953 1317681 1527402 1540719 1772226 2291103 2339906 2635362 2658339 3081438 3509859 3953043 4582206 4622157 5316678 6334067 6873309 7019718 7906086 9244314 9418979 10529577 12668134 13746618 13866471 18837958 19002201 20619927 21059154 27732942 28256937 31588731 38004402 41239854 43288261 56513874 57006603 63177462 84770811 86576522 94766193 114013206 129864783 169541622 171019809 189532386 225800929 254312433 259729566 342039618 389594349 451601858 508624866 513059427 677402787 762937299 779188698 1026118854 1168783047 1354805574 1525874598 2032208361 2337566094 3506349141 4064416722 6096625083 7012698282 8354634373 12193250166 16709268746 18289875249 25063903119 36579750498 50127806238 75191709357 150383418714 225575128071 451150256142 676725384213 1353450768426