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42545320000 = 26542936677
BaseRepresentation
bin100111100111111001…
…100001000001000000
311001211001112012010121
4213213321201001000
51144113100220000
631313421510024
73034212152551
oct474771410100
9131731465117
1042545320000
11170527a6697
1282b4412314
1340204bbb81
1420b8658328
1511901b5b1a
hex9e7e61040

42545320000 has 140 divisors (see below), whose sum is σ = 109139423580. Its totient is φ = 16430848000.

The previous prime is 42545319953. The next prime is 42545320007. The reversal of 42545320000 is 2354524.

It can be written as a sum of positive squares in 10 ways, for example, as 19236580416 + 23308739584 = 138696^2 + 152672^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42545320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1141662 + ... + 1178338.

Almost surely, 242545320000 is an apocalyptic number.

42545320000 is a gapful number since it is divisible by the number (40) 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 42545320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54569711790).

42545320000 is an abundant number, since it is smaller than the sum of its proper divisors (66594103580).

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

42545320000 is an equidigital number, since it uses as much as digits as its factorization.

42545320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36738 (or 36713 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 42545320000 its reverse (2354524), we get a palindrome (42547674524).

The spelling of 42545320000 in words is "forty-two billion, five hundred forty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 20000 23200 29000 36250 36677 40000 46400 58000 72500 73354 116000 145000 146708 183385 232000 290000 293416 366770 580000 586832 733540 916925 1063633 1160000 1173664 1467080 1833850 2127266 2347328 2934160 3667700 4254532 4584625 5318165 5868320 7335400 8509064 9169250 10636330 11736640 14670800 17018128 18338500 21272660 22923125 26590825 29341600 34036256 36677000 42545320 45846250 53181650 58683200 68072512 73354000 85090640 91692500 106363300 132954125 146708000 170181280 183385000 212726600 265908250 293416000 340362560 366770000 425453200 531816500 664770625 733540000 850906400 1063633000 1329541250 1467080000 1701812800 2127266000 2659082500 4254532000 5318165000 8509064000 10636330000 21272660000 42545320000