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42776553140 = 2257335578237
BaseRepresentation
bin100111110101101011…
…100110011010110100
311002102011122001100222
4213311223212122310
51200101244200030
631352401553512
73043020462626
oct476553463264
9132364561328
1042776553140
1117161281562
128359945898
134059390509
1420db24ac16
1511a563e3e5
hex9f5ae66b4

42776553140 has 48 divisors (see below), whose sum is σ = 91097978832. Its totient is φ = 16869436416.

The previous prime is 42776553137. The next prime is 42776553173. The reversal of 42776553140 is 4135567724.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1423703824 + 41352849316 = 37732^2 + 203354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42776553091 and 42776553100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5189102 + ... + 5197338.

It is an arithmetic number, because the mean of its divisors is an integer number (1897874559).

Almost surely, 242776553140 is an apocalyptic number.

It is an amenable number.

42776553140 is an abundant number, since it is smaller than the sum of its proper divisors (48321425692).

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

42776553140 is a wasteful number, since it uses less digits than its factorization.

42776553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 42776553140 in words is "forty-two billion, seven hundred seventy-six million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 3557 7114 8237 14228 16474 17785 32948 35570 41185 71140 82370 164740 259661 519322 601301 1038644 1202602 1298305 2405204 2596610 3006505 5193220 6013010 12026020 29299009 58598018 117196036 146495045 292990090 585980180 2138827657 4277655314 8555310628 10694138285 21388276570 42776553140