Search a number
-
+
73541468004 = 22353712576337
BaseRepresentation
bin100010001111101101…
…0011011111101100100
321000211020020122200020
41010133122123331210
52201103103434004
653441240515140
75212266110154
oct1043732337544
9230736218606
1073541468004
1129209272434
1212304a7bab0
136c20072a54
1437b90ca764
151da64ae8d9
hex111f69bf64

73541468004 has 96 divisors (see below), whose sum is σ = 178014848256. Its totient is φ = 23616552960.

The previous prime is 73541467997. The next prime is 73541468009. The reversal of 73541468004 is 40086414537.

It is a super-3 number, since 3×735414680043 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73541468009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11601924 + ... + 11608260.

It is an arithmetic number, because the mean of its divisors is an integer number (1854321336).

Almost surely, 273541468004 is an apocalyptic number.

It is an amenable number.

73541468004 is an abundant number, since it is smaller than the sum of its proper divisors (104473380252).

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

73541468004 is a wasteful number, since it uses less digits than its factorization.

73541468004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 73541468004 in words is "seventy-three billion, five hundred forty-one million, four hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 12 53 71 106 142 159 212 213 257 284 318 426 514 636 771 852 1028 1542 3084 3763 6337 7526 11289 12674 13621 15052 18247 19011 22578 25348 27242 36494 38022 40863 45156 54484 54741 72988 76044 81726 109482 163452 218964 335861 449927 671722 899854 967091 1007583 1343444 1349781 1628609 1799708 1934182 2015166 2699562 2901273 3257218 3868364 4030332 4885827 5399124 5802546 6514436 9771654 11605092 19543308 23846131 47692262 71538393 86316277 95384524 115631239 143076786 172632554 231262478 258948831 286153572 345265108 346893717 462524956 517897662 693787434 1035795324 1387574868 6128455667 12256911334 18385367001 24513822668 36770734002 73541468004