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6000512451400 = 2352373637222953
BaseRepresentation
bin101011101010001101001…
…1010011100001101001000
3210020122101000210210001201
41113110122122130031020
51241303022141421100
620432333010353544
71156344202164445
oct127243232341510
923218330723051
106000512451400
111a03891933805
1280ab3358b8b4
13346acc58448c
1416a5d7ca69cc
15a6148e6036a
hex5751a69c348

6000512451400 has 96 divisors (see below), whose sum is σ = 14332254540840. Its totient is φ = 2334681999360.

The previous prime is 6000512451391. The next prime is 6000512451443. The reversal of 6000512451400 is 41542150006.

It can be written as a sum of positive squares in 12 ways, for example, as 1549163579716 + 4451348871684 = 1244654^2 + 2109822^2 .

It is a super-2 number, since 2×60005124514002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26802324 + ... + 27025276.

Almost surely, 26000512451400 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 6000512451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166127270420).

6000512451400 is an abundant number, since it is smaller than the sum of its proper divisors (8331742089440).

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

6000512451400 is a wasteful number, since it uses less digits than its factorization.

6000512451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226643 (or 226634 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 6000512451400 in words is "six trillion, five hundred twelve million, four hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3637 3700 7274 7400 14548 18185 29096 36370 72740 90925 134569 145480 181850 222953 269138 363700 445906 538276 672845 727400 891812 1076552 1114765 1345690 1783624 2229530 2691380 3364225 4459060 5382760 5573825 6728450 8249261 8918120 11147650 13456900 16498522 22295300 26913800 32997044 41246305 44590600 65994088 82492610 164985220 206231525 329970440 412463050 810880061 824926100 1621760122 1649852200 3243520244 4054400305 6487040488 8108800610 16217601220 20272001525 30002562257 32435202440 40544003050 60005124514 81088006100 120010249028 150012811285 162176012200 240020498056 300025622570 600051245140 750064056425 1200102490280 1500128112850 3000256225700 6000512451400