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133052020522400 = 2552723394184197
BaseRepresentation
bin11110010000001010010110…
…011010110111110110100000
3122110002122112002001220111202
4132100022112122313312200
5114414411014223204100
61150551130541500332
740011456050126300
oct3620122632676640
9573078462056452
10133052020522400
1139438054a20381
1212b0a4585716a8
1359319a0636295
1424bda75ca3600
15105aec5c4a7d5
hex7902966b7da0

133052020522400 has 108 divisors (see below), whose sum is σ = 377843979105558. Its totient is φ = 45617835594240.

The previous prime is 133052020522367. The next prime is 133052020522429. The reversal of 133052020522400 is 4225020250331.

It can be written as a sum of positive squares in 3 ways, for example, as 106320762950416 + 26731257571984 = 10311196^2 + 5170228^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1697052899 + ... + 1697131298.

Almost surely, 2133052020522400 is an apocalyptic number.

133052020522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133052020522400 is an abundant number, since it is smaller than the sum of its proper divisors (244791958583158).

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

133052020522400 is a wasteful number, since it uses less digits than its factorization.

133052020522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394184231 (or 3394184211 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 133052020522400 its reverse (4225020250331), we get a palindrome (137277040772731).

The spelling of 133052020522400 in words is "one hundred thirty-three trillion, fifty-two billion, twenty million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 39200 3394184197 6788368394 13576736788 16970920985 23759289379 27153473576 33941841970 47518578758 54306947152 67883683940 84854604925 95037157516 108613894304 118796446895 135767367880 166315025653 169709209850 190074315032 237592893790 271534735760 332630051306 339418419700 380148630064 475185787580 543069471520 593982234475 665260102612 678836839400 760297260128 831575128265 950371575160 1187964468950 1330520205224 1357673678800 1663150256530 1900743150320 2375928937900 2661040410448 2715347357600 3326300513060 3801486300640 4157875641325 4751857875800 5322080820896 6652601026120 8315751282650 9503715751600 13305202052240 16631502565300 19007431503200 26610404104480 33263005130600 66526010261200 133052020522400