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52152053200 = 24521310029241
BaseRepresentation
bin110000100100100000…
…010010110111010000
311222121120021210121221
4300210200102313100
51323301411200300
635542555254424
73524243065222
oct604440226720
9158546253557
1052152053200
1120132524515
12a13574a414
134bc18846a0
14274a48a412
15155379031a
hexc24812dd0

52152053200 has 60 divisors (see below), whose sum is σ = 134933421868. Its totient is φ = 19256140800.

The previous prime is 52152053183. The next prime is 52152053279. The reversal of 52152053200 is 235025125.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13831641664 + 38320411536 = 117608^2 + 195756^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5009421 + ... + 5019820.

Almost surely, 252152053200 is an apocalyptic number.

52152053200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52152053200 is an abundant number, since it is smaller than the sum of its proper divisors (82781368668).

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

52152053200 is a wasteful number, since it uses less digits than its factorization.

52152053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029272 (or 10029261 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 52152053200 its reverse (235025125), we get a palindrome (52387078325).

It can be divided in two parts, 52 and 152053200, that multiplied together give a square (7906766400 = 889202).

The spelling of 52152053200 in words is "fifty-two billion, one hundred fifty-two million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 10029241 20058482 40116964 50146205 80233928 100292410 130380133 160467856 200584820 250731025 260760266 401169640 501462050 521520532 651900665 802339280 1002924100 1043041064 1303801330 2005848200 2086082128 2607602660 3259503325 4011696400 5215205320 6519006650 10430410640 13038013300 26076026600 52152053200