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52455150400 = 2652110329723
BaseRepresentation
bin110000110110100100…
…100001001101000000
312000101200121201211011
4300312210201031000
51324412004303100
640033023530304
73534613264432
oct606644411500
9160350551734
1052455150400
1120278623974
12a1bb159994
134c3c5c8143
142778828652
1515701b1bba
hexc36921340

52455150400 has 84 divisors (see below), whose sum is σ = 129193820352. Its totient is φ = 20962332160.

The previous prime is 52455150389. The next prime is 52455150409. The reversal of 52455150400 is 405155425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52455150409) by changing a digit.

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, 1749939 + ... + 1779661.

Almost surely, 252455150400 is an apocalyptic number.

52455150400 is a gapful number since it is divisible by the number (50) 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 52455150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64596910176).

52455150400 is an abundant number, since it is smaller than the sum of its proper divisors (76738669952).

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

52455150400 is a wasteful number, since it uses less digits than its factorization.

52455150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30848 (or 30833 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 52455150400 in words is "fifty-two billion, four hundred fifty-five million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1103 1600 2206 4412 5515 8824 11030 17648 22060 27575 29723 35296 44120 55150 59446 70592 88240 110300 118892 148615 176480 220600 237784 297230 352960 441200 475568 594460 743075 882400 951136 1188920 1486150 1764800 1902272 2377840 2972300 4755680 5944600 9511360 11889200 23778400 32784469 47556800 65568938 131137876 163922345 262275752 327844690 524551504 655689380 819611725 1049103008 1311378760 1639223450 2098206016 2622757520 3278446900 5245515040 6556893800 10491030080 13113787600 26227575200 52455150400