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425252133632400 = 243523131132194179
BaseRepresentation
bin110000010110000111011101…
…0010111010111100110010000
32001202200201002100202100202020
41200230032322113113212100
5421214312332202214100
64104234044440251440
7155400311205150654
oct14054167227274620
92052621070670666
10425252133632400
11113553465153aa8
123b840867170b80
1315339147a19bb9
147702455182a64
153426bb59ac5a0
hex182c3ba5d7990

425252133632400 has 120 divisors (see below), whose sum is σ = 1366576490366880. Its totient is φ = 113038266731520.

The previous prime is 425252133632383. The next prime is 425252133632419. The reversal of 425252133632400 is 4236331252524.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565721490 + ... + 566472689.

It is an arithmetic number, because the mean of its divisors is an integer number (11388137419724).

Almost surely, 2425252133632400 is an apocalyptic number.

425252133632400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425252133632400 is an abundant number, since it is smaller than the sum of its proper divisors (941324356734480).

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

425252133632400 is a wasteful number, since it uses less digits than its factorization.

425252133632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132194513 (or 1132194502 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 425252133632400 its reverse (4236331252524), we get a palindrome (429488464884924).

The spelling of 425252133632400 in words is "four hundred twenty-five trillion, two hundred fifty-two billion, one hundred thirty-three million, six hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 313 400 600 626 939 1200 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 7825 9390 12520 15024 15650 18780 23475 25040 31300 37560 46950 62600 75120 93900 125200 187800 375600 1132194179 2264388358 3396582537 4528776716 5660970895 6793165074 9057553432 11321941790 13586330148 16982912685 18115106864 22643883580 27172660296 28304854475 33965825370 45287767160 54345320592 56609708950 67931650740 84914563425 90575534320 113219417900 135863301480 169829126850 226438835800 271726602960 339658253700 354376778027 452877671600 679316507400 708753556054 1063130334081 1358633014800 1417507112108 1771883890135 2126260668162 2835014224216 3543767780270 4252521336324 5315651670405 5670028448432 7087535560540 8505042672648 8859419450675 10631303340810 14175071121080 17010085345296 17718838901350 21262606681620 26578258352025 28350142242160 35437677802700 42525213363240 53156516704050 70875355605400 85050426726480 106313033408100 141750711210800 212626066816200 425252133632400