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74860144951296 = 2163675682961
BaseRepresentation
bin10001000001010110111100…
…010110010000000000000000
3100211001120010012210022021010
4101001112330112100000000
534303002034101420141
6423114135325000520
721524316115060335
oct2101267426200000
9324046105708233
1074860144951296
1121942011252601
1284904930b3140
1332a038725ab83
14146b370d5298c
1589c43e0c9416
hex4415bc590000

74860144951296 has 136 divisors (see below), whose sum is σ = 202605051346144. Its totient is φ = 24580938792960.

The previous prime is 74860144951159. The next prime is 74860144951313. The reversal of 74860144951296 is 69215944106847.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10331256 + ... + 16014216.

It is an arithmetic number, because the mean of its divisors is an integer number (1489743024604).

Almost surely, 274860144951296 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 74860144951296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101302525673072).

74860144951296 is an abundant number, since it is smaller than the sum of its proper divisors (127744906394848).

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

74860144951296 is an frugal number, since it uses more digits than its factorization.

74860144951296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683063 (or 5683033 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 74860144951296 in words is "seventy-four trillion, eight hundred sixty billion, one hundred forty-four million, nine hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1024 1072 1536 1608 2048 2144 3072 3216 4096 4288 6144 6432 8192 8576 12288 12864 16384 17152 24576 25728 32768 34304 49152 51456 65536 68608 98304 102912 137216 196608 205824 274432 411648 548864 823296 1097728 1646592 2195456 3293184 4390912 5682961 6586368 11365922 13172736 17048883 22731844 34097766 45463688 68195532 90927376 136391064 181854752 272782128 363709504 380758387 545564256 727419008 761516774 1091128512 1142275161 1454838016 1523033548 2182257024 2284550322 2909676032 3046067096 4364514048 4569100644 5819352064 6092134192 8729028096 9138201288 11638704128 12184268384 17458056192 18276402576 23277408256 24368536768 34916112384 36552805152 46554816512 48737073536 69832224768 73105610304 93109633024 97474147072 139664449536 146211220608 186219266048 194948294144 279328899072 292422441216 372438532096 389896588288 558657798144 584844882432 779793176576 1117315596288 1169689764864 1559586353152 2339379529728 3119172706304 4678759059456 6238345412608 9357518118912 12476690825216 18715036237824 24953381650432 37430072475648 74860144951296