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1054504250000 = 245640910313
BaseRepresentation
bin11110101100001010101…
…10011110101010010000
310201210212012210012111222
433112011112132222100
5114234111042000000
62124233233424212
7136120412142665
oct17260526365220
93653765705458
101054504250000
11377238181703
1215045340b068
137859326c646
143907706ba6c
151c66b788a85
hexf58559ea90

1054504250000 has 140 divisors (see below), whose sum is σ = 2560337149140. Its totient is φ = 420729600000.

The previous prime is 1054504249991. The next prime is 1054504250003. The reversal of 1054504250000 is 524054501.

1054504250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 1001368467856 + 53135782144 = 1000684^2 + 230512^2 .

It is a super-2 number, since 2×10545042500002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054504250003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 102244844 + ... + 102255156.

Almost surely, 21054504250000 is an apocalyptic number.

1054504250000 is a gapful number since it is divisible by the number (10) 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 1054504250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280168574570).

1054504250000 is an abundant number, since it is smaller than the sum of its proper divisors (1505832899140).

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

1054504250000 is an frugal number, since it uses more digits than its factorization.

1054504250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 1054504250000 in words is "one trillion, fifty-four billion, five hundred four million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 409 500 625 818 1000 1250 1636 2000 2045 2500 3125 3272 4090 5000 6250 6544 8180 10000 10225 10313 12500 15625 16360 20450 20626 25000 31250 32720 40900 41252 50000 51125 51565 62500 81800 82504 102250 103130 125000 163600 165008 204500 206260 250000 255625 257825 409000 412520 511250 515650 818000 825040 1022500 1031300 1278125 1289125 2045000 2062600 2556250 2578250 4090000 4125200 4218017 5112500 5156500 6390625 6445625 8436034 10225000 10313000 12781250 12891250 16872068 20450000 20626000 21090085 25562500 25782500 32228125 33744136 42180170 51125000 51565000 64456250 67488272 84360340 102250000 103130000 105450425 128912500 161140625 168720680 210900850 257825000 322281250 337441360 421801700 515650000 527252125 644562500 843603400 1054504250 1289125000 1687206800 2109008500 2578250000 2636260625 4218017000 5272521250 8436034000 10545042500 13181303125 21090085000 26362606250 42180170000 52725212500 65906515625 105450425000 131813031250 210900850000 263626062500 527252125000 1054504250000