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74460069152 = 25721917314447
BaseRepresentation
bin100010101011000101…
…0100111110100100000
321010012020202102112222
41011112022213310200
52204443234203102
654112333410212
75244122100500
oct1052612476440
9233166672488
1074460069152
112963a84a037
1212520639968
13703847cc21
1438650c9a00
151e0be62aa2
hex11562a7d20

74460069152 has 144 divisors (see below), whose sum is σ = 180552032640. Its totient is φ = 30055076352.

The previous prime is 74460069149. The next prime is 74460069157. The reversal of 74460069152 is 25196006447.

It is not an unprimeable number, because it can be changed into a prime (74460069157) 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, 5146793 + ... + 5161239.

It is an arithmetic number, because the mean of its divisors is an integer number (1253833560).

Almost surely, 274460069152 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 74460069152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90276016320).

74460069152 is an abundant number, since it is smaller than the sum of its proper divisors (106091963488).

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

74460069152 is a wasteful number, since it uses less digits than its factorization.

74460069152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663 (or 14648 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 74460069152 in words is "seventy-four billion, four hundred sixty million, sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 173 196 224 266 304 346 392 532 608 692 784 931 1064 1211 1384 1568 1862 2128 2422 2768 3287 3724 4256 4844 5536 6574 7448 8477 9688 13148 14447 14896 16954 19376 23009 26296 28894 29792 33908 38752 46018 52592 57788 67816 92036 101129 105184 115576 135632 161063 184072 202258 231152 271264 274493 322126 368144 404516 462304 548986 644252 707903 736288 809032 1097972 1288504 1415806 1618064 1921451 2195944 2499331 2577008 2831612 3236128 3842902 4391888 4998662 5154016 5663224 7685804 8783776 9997324 11326448 13450157 15371608 17495317 19994648 22652896 26900314 30743216 34990634 39989296 47487289 53800628 61486432 69981268 79978592 94974578 107601256 122467219 139962536 189949156 215202512 244934438 279925072 332411023 379898312 430405024 489868876 559850144 664822046 759796624 979737752 1329644092 1519593248 1959475504 2326877161 2659288184 3918951008 4653754322 5318576368 9307508644 10637152736 18615017288 37230034576 74460069152