Search a number
-
+
742666166451 = 331113791919861
BaseRepresentation
bin10101100111010100101…
…10100110000010110011
32121222221200102020001000
422303222112212002303
544131440014311301
61325102013213043
7104440650154236
oct12635226460263
92558850366030
10742666166451
11266a65764a90
12bbb25491183
13550579bb091
1427d33a1941d
15144b9b8e786
hexacea5a60b3

742666166451 has 64 divisors (see below), whose sum is σ = 1210406169600. Its totient is φ = 446306630400.

The previous prime is 742666166401. The next prime is 742666166453. The reversal of 742666166451 is 154661666247.

742666166451 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 742666166451 - 29 = 742666165939 is a prime.

It is a super-3 number, since 3×7426661664513 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (742666166453) 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, 37383261 + ... + 37403121.

It is an arithmetic number, because the mean of its divisors is an integer number (18912596400).

Almost surely, 2742666166451 is an apocalyptic number.

742666166451 is a deficient number, since it is larger than the sum of its proper divisors (467740003149).

742666166451 is a wasteful number, since it uses less digits than its factorization.

742666166451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20931 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 742666166451 in words is "seven hundred forty-two billion, six hundred sixty-six million, one hundred sixty-six thousand, four hundred fifty-one".

Divisors: 1 3 9 11 27 33 99 137 297 411 919 1233 1507 2757 3699 4521 8271 10109 13563 19861 24813 30327 40689 59583 90981 125903 178749 218471 272943 377709 536247 655413 1133127 1384933 1966239 2720957 3399381 4154799 5898717 8162871 12464397 18252259 24488613 29930527 37393191 54756777 73465839 89791581 164270331 200774849 269374743 492810993 602324547 808124229 1806973641 2500559483 5420920923 7501678449 22505035347 27506154313 67515106041 82518462939 247555388817 742666166451