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42554235120 = 2435566931277
BaseRepresentation
bin100111101000011011…
…100001100011110000
311001211200022010101020
4213220123201203300
51144122341010440
631314340535440
73034351013265
oct475033414360
9131750263336
1042554235120
1117057835761
1282b73b1580
1340222c09a7
1420b98d926c
151190d773d0
hex9e86e18f0

42554235120 has 80 divisors (see below), whose sum is σ = 131945617440. Its totient is φ = 11345431552.

The previous prime is 42554235107. The next prime is 42554235133. The reversal of 42554235120 is 2153245524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42554235107) and next prime (42554235133).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344922 + ... + 1376198.

It is an arithmetic number, because the mean of its divisors is an integer number (1649320218).

Almost surely, 242554235120 is an apocalyptic number.

42554235120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42554235120 is an abundant number, since it is smaller than the sum of its proper divisors (89391382320).

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

42554235120 is a wasteful number, since it uses less digits than its factorization.

42554235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36962 (or 36956 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 42554235120 in words is "forty-two billion, five hundred fifty-four million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5669 11338 17007 22676 28345 31277 34014 45352 56690 62554 68028 85035 90704 93831 113380 125108 136056 156385 170070 187662 226760 250216 272112 312770 340140 375324 453520 469155 500432 625540 680280 750648 938310 1251080 1360560 1501296 1876620 2502160 3753240 7506480 177309313 354618626 531927939 709237252 886546565 1063855878 1418474504 1773093130 2127711756 2659639695 2836949008 3546186260 4255423512 5319279390 7092372520 8510847024 10638558780 14184745040 21277117560 42554235120