Search a number
-
+
742487730501 = 3111713169114621
BaseRepresentation
bin10101100110111111011…
…01111010100101000101
32121222111020122201221010
422303133231322211011
544131103324334001
61325032200512433
7104433352401636
oct12633755724505
92558436581833
10742487730501
11266983a70460
12bba9577b719
1355029a4408a
1427d1804b88d
15144a91948d6
hexacdfb7a945

742487730501 has 64 divisors (see below), whose sum is σ = 1153986020352. Its totient is φ = 419652480000.

The previous prime is 742487730487. The next prime is 742487730653. The reversal of 742487730501 is 105037784247.

It is not a de Polignac number, because 742487730501 - 215 = 742487697733 is a prime.

It is a super-2 number, since 2×7424877305012 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742487730401) 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, 50774971 + ... + 50789591.

It is an arithmetic number, because the mean of its divisors is an integer number (18031031568).

Almost surely, 2742487730501 is an apocalyptic number.

It is an amenable number.

742487730501 is a deficient number, since it is larger than the sum of its proper divisors (411498289851).

742487730501 is a wasteful number, since it uses less digits than its factorization.

742487730501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15474.

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 742487730501 in words is "seven hundred forty-two billion, four hundred eighty-seven million, seven hundred thirty thousand, five hundred one".

Divisors: 1 3 11 17 33 51 131 187 393 561 691 1441 2073 2227 4323 6681 7601 11747 14621 22803 24497 35241 43863 73491 90521 129217 160831 248557 271563 387651 482493 745671 995731 1538857 1915351 2734127 2987193 4616571 5746053 8202381 10103111 16927427 21068861 30309333 32560967 50782281 63206583 97682901 111134221 171752887 333402663 358170637 515258661 1074511911 1323507541 1889281757 3970522623 5667845271 14558582951 22499628197 43675748853 67498884591 247495910167 742487730501