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74713041468 = 22351310755259
BaseRepresentation
bin100010110010100111…
…1101000101000111100
321010211212202202100000
41011211033220220330
52211003014311333
654153411434300
75253313242222
oct1054517505074
9233755682300
1074713041468
112975a62296a
12125912b5990
1370789c34a0
14388a93ab12
151e24282713
hex11653e8a3c

74713041468 has 144 divisors (see below), whose sum is σ = 212893349760. Its totient is φ = 22773369024.

The previous prime is 74713041463. The next prime is 74713041509. The reversal of 74713041468 is 86414031747.

74713041468 is a `hidden beast` number, since 7 + 47 + 130 + 414 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74713041463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324423 + ... + 1379681.

It is an arithmetic number, because the mean of its divisors is an integer number (1478426040).

Almost surely, 274713041468 is an apocalyptic number.

74713041468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74713041468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106446674880).

74713041468 is an abundant number, since it is smaller than the sum of its proper divisors (138180308292).

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

74713041468 is a wasteful number, since it uses less digits than its factorization.

74713041468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55398 (or 55384 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74713041468 in words is "seventy-four billion, seven hundred thirteen million, forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 107 108 117 156 162 214 234 243 321 324 351 428 468 486 642 702 963 972 1053 1284 1391 1404 1926 2106 2782 2889 3159 3852 4173 4212 5564 5778 6318 8346 8667 11556 12519 12636 16692 17334 25038 26001 34668 37557 50076 52002 55259 75114 104004 110518 112671 150228 165777 221036 225342 331554 338013 450684 497331 663108 676026 718367 994662 1352052 1436734 1491993 1989324 2155101 2873468 2983986 4310202 4475979 5912713 5967972 6465303 8620404 8951958 11825426 12930606 13427937 17738139 17903916 19395909 23650852 25861212 26855874 35476278 38791818 53214417 53711748 58187727 70952556 76865269 77583636 106428834 116375454 153730538 159643251 174563181 212857668 230595807 232750908 307461076 319286502 349126362 461191614 478929753 638573004 691787421 698252724 922383228 957859506 1383574842 1436789259 1915719012 2075362263 2767149684 2873578518 4150724526 5747157036 6226086789 8301449052 12452173578 18678260367 24904347156 37356520734 74713041468