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2500378901200 = 245253117942401
BaseRepresentation
bin100100011000101010001…
…100100011101011010000
322212000220201000201221101
4210120222030203223100
5311431233444314300
65152354101234144
7345434501662555
oct44305214435320
98760821021841
102500378901200
1188444a783374
1234470ba02954
13151a2804712b
148903a144a2c
1545092007b6a
hex2462a323ad0

2500378901200 has 60 divisors (see below), whose sum is σ = 6120503009388. Its totient is φ = 981280768000.

The previous prime is 2500378901149. The next prime is 2500378901201. The reversal of 2500378901200 is 21098730052.

It can be written as a sum of positive squares in 6 ways, for example, as 8363664 + 2500370537536 = 2892^2 + 1581256^2 .

It is a super-2 number, since 2×25003789012002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2500378901200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500378901201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58950001 + ... + 58992400.

Almost surely, 22500378901200 is an apocalyptic number.

2500378901200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2500378901200 is an abundant number, since it is smaller than the sum of its proper divisors (3620124108188).

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

2500378901200 is a wasteful number, since it uses less digits than its factorization.

2500378901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117942472 (or 117942461 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 2500378901200 in words is "two trillion, five hundred billion, three hundred seventy-eight million, nine hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 117942401 235884802 471769604 589712005 943539208 1179424010 1887078416 2358848020 2948560025 4717696040 5897120050 6250947253 9435392080 11794240100 12501894506 23588480200 25003789012 31254736265 47176960400 50007578024 62509472530 100015156048 125018945060 156273681325 250037890120 312547362650 500075780240 625094725300 1250189450600 2500378901200