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2929201012000 = 2553732300253
BaseRepresentation
bin101010101000000001111…
…111000101110100100000
3101101000210001111001002101
4222220001333011310200
5340443000424341000
610121353435300144
7421425221534254
oct52500177056440
911330701431071
102929201012000
11a2a2a367514a
123b38475aa654
131832b79c81b3
14a1aba13a264
15512dde0ae6a
hex2aa01fc5d20

2929201012000 has 48 divisors (see below), whose sum is σ = 7197046896312. Its totient is φ = 1171680403200.

The previous prime is 2929201011991. The next prime is 2929201012121. The reversal of 2929201012000 is 2101029292.

It can be written as a sum of positive squares in 4 ways, for example, as 1361226224656 + 1567974787344 = 1166716^2 + 1252188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2929201012000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366146127 + ... + 366154126.

Almost surely, 22929201012000 is an apocalyptic number.

2929201012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2929201012000 is an abundant number, since it is smaller than the sum of its proper divisors (4267845884312).

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

2929201012000 is an equidigital number, since it uses as much as digits as its factorization.

2929201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732300278 (or 732300260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

It can be divided in two parts, 292920 and 1012000, that added together give a triangular number (1304920 = T1615).

The spelling of 2929201012000 in words is "two trillion, nine hundred twenty-nine billion, two hundred one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 732300253 1464600506 2929201012 3661501265 5858402024 7323002530 11716804048 14646005060 18307506325 23433608096 29292010120 36615012650 58584020240 73230025300 91537531625 117168040480 146460050600 183075063250 292920101200 366150126500 585840202400 732300253000 1464600506000 2929201012000