Search a number
-
+
76282223742 = 233101103251541
BaseRepresentation
bin100011100001011000…
…1100101110001111110
321021220020110110202000
41013002301211301332
52222211222124432
655013224443130
75340226126524
oct1070261456176
9237806413660
1076282223742
112a39536581a
121294a9194a6
137268b28cca
1439990cc314
151eb6de557c
hex11c2c65c7e

76282223742 has 128 divisors (see below), whose sum is σ = 173865968640. Its totient is φ = 24786000000.

The previous prime is 76282223711. The next prime is 76282223749. The reversal of 76282223742 is 24732228267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76282223749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141001992 + ... + 141002532.

It is an arithmetic number, because the mean of its divisors is an integer number (1358327880).

Almost surely, 276282223742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76282223742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86932984320).

76282223742 is an abundant number, since it is smaller than the sum of its proper divisors (97583744898).

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

76282223742 is a wasteful number, since it uses less digits than its factorization.

76282223742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 76282223742 in words is "seventy-six billion, two hundred eighty-two million, two hundred twenty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 103 202 206 251 303 309 502 541 606 618 753 909 927 1082 1506 1623 1818 1854 2259 2727 2781 3246 4518 4869 5454 5562 6777 9738 10403 13554 14607 20806 25351 25853 29214 31209 50702 51706 54641 55723 62418 76053 77559 93627 109282 111446 135791 152106 155118 163923 167169 187254 228159 232677 271582 280881 327846 334338 407373 456318 465354 491769 501507 561762 684477 698031 814746 983538 1003014 1222119 1368954 1396062 1475307 1504521 2444238 2611153 2950614 3009042 3666357 5222306 5628023 7332714 7833459 11256046 13714891 13986473 15666918 16884069 23500377 27429782 27972946 33768138 41144673 41959419 47000754 50652207 70501131 82289346 83918838 101304414 123434019 125878257 141002262 151956621 246868038 251756514 303913242 370302057 377634771 740604114 755269542 1412633773 2825267546 4237901319 8475802638 12713703957 25427407914 38141111871 76282223742