Search a number
-
+
71950529224 = 23717733113329
BaseRepresentation
bin100001100000010010…
…1011111001011001000
320212201100121120221201
41003000211133023020
52134323313413344
653015325313544
75125000256530
oct1030045371310
9225640546851
1071950529224
112857221a5a2
1211b401058b4
136a28590462
1436a7ab44c0
151d119a04d4
hex10c095f2c8

71950529224 has 128 divisors (see below), whose sum is σ = 166067366400. Its totient is φ = 28523888640.

The previous prime is 71950529219. The next prime is 71950529239. The reversal of 71950529224 is 42292505917.

It is a super-2 number, since 2×719505292242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21611592 + ... + 21614920.

It is an arithmetic number, because the mean of its divisors is an integer number (1297401300).

Almost surely, 271950529224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71950529224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83033683200).

71950529224 is an abundant number, since it is smaller than the sum of its proper divisors (94116837176).

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

71950529224 is a wasteful number, since it uses less digits than its factorization.

71950529224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 71950529224 in words is "seventy-one billion, nine hundred fifty million, five hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 311 476 511 584 622 952 1022 1241 1244 2044 2177 2482 2488 3329 4088 4354 4964 5287 6658 8687 8708 9928 10574 13316 17374 17416 21148 22703 23303 26632 34748 37009 42296 45406 46606 56593 69496 74018 90812 93212 113186 148036 158921 181624 186424 226372 243017 296072 317842 385951 396151 452744 486034 635684 771902 792302 972068 1035319 1271368 1543804 1584604 1701119 1944136 2070638 2701657 3087608 3169208 3402238 4131289 4141276 5403314 6804476 7247233 8262578 8282552 10806628 13608952 14494466 16525156 17600423 21613256 28919023 28988932 33050312 35200846 57838046 57977864 70401692 75578287 115676092 123202961 140803384 151156574 231352184 246405922 302313148 492811844 529048009 604626296 985623688 1058096018 1284830879 2116192036 2569661758 4232384072 5139323516 8993816153 10278647032 17987632306 35975264612 71950529224