Search a number
-
+
74680074807408 = 24327659112423939
BaseRepresentation
bin10000111110101111001111…
…010101001010100001110000
3100210102100022211001012200200
4100332233033111022201300
534242024243122314113
6422455315220515200
721505312605104160
oct2076571725124160
9323370284035620
1074680074807408
1121882707361274
1284615b9b4bb00
1332893bac27485
14146276bad85a0
15897900667873
hex43ebcf54a870

74680074807408 has 120 divisors (see below), whose sum is σ = 239220156489600. Its totient is φ = 21304785946752.

The previous prime is 74680074807407. The next prime is 74680074807431. The reversal of 74680074807408 is 80470847008647.

74680074807408 is a `hidden beast` number, since 7 + 4 + 6 + 80 + 0 + 7 + 480 + 74 + 0 + 8 = 666.

It is a super-2 number, since 2×746800748074082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74680074807407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55547698 + ... + 56876241.

It is an arithmetic number, because the mean of its divisors is an integer number (1993501304080).

Almost surely, 274680074807408 is an apocalyptic number.

It is an amenable number.

74680074807408 is an abundant number, since it is smaller than the sum of its proper divisors (164540081682192).

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

74680074807408 is a wasteful number, since it uses less digits than its factorization.

74680074807408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112424619 (or 112424610 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 74680074807408 in words is "seventy-four trillion, six hundred eighty billion, seventy-four million, eight hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 659 1008 1318 1977 2636 3954 4613 5272 5931 7908 9226 10544 11862 13839 15816 18452 23724 27678 31632 36904 41517 47448 55356 73808 83034 94896 110712 166068 221424 332136 664272 112423939 224847878 337271817 449695756 674543634 786967573 899391512 1011815451 1349087268 1573935146 1798783024 2023630902 2360902719 2698174536 3147870292 4047261804 4721805438 5396349072 6295740584 7082708157 8094523608 9443610876 12591481168 14165416314 16189047216 18887221752 28330832628 37774443504 56661665256 74087375801 113323330512 148174751602 222262127403 296349503204 444524254806 518611630607 592699006408 666786382209 889048509612 1037223261214 1185398012816 1333572764418 1555834891821 1778097019224 2074446522428 2667145528836 3111669783642 3556194038448 4148893044856 4667504675463 5334291057672 6223339567284 8297786089712 9335009350926 10668582115344 12446679134568 18670018701852 24893358269136 37340037403704 74680074807408