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138553798400 = 285221649031
BaseRepresentation
bin1000000100001001110…
…0110010111100000000
3111020122001102020002222
42001002130302330000
54232224233022100
6143352320430212
713003330566053
oct2010234627400
9436561366088
10138553798400
1153840009506
1222a29478368
13100b1087cc4
1469c5530a9a
15390dca2485
hex2042732f00

138553798400 has 54 divisors (see below), whose sum is σ = 342942315912. Its totient is φ = 55421516800.

The previous prime is 138553798381. The next prime is 138553798441. The reversal of 138553798400 is 4897355831.

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 5 ways as a sum of consecutive naturals, for example, 10818116 + ... + 10830915.

It is an arithmetic number, because the mean of its divisors is an integer number (6350783628).

Almost surely, 2138553798400 is an apocalyptic number.

138553798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138553798400 is an abundant number, since it is smaller than the sum of its proper divisors (204388517512).

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

138553798400 is an equidigital number, since it uses as much as digits as its factorization.

138553798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21649057 (or 21649038 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 138553798400 in words is "one hundred thirty-eight billion, five hundred fifty-three million, seven hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 21649031 43298062 86596124 108245155 173192248 216490310 346384496 432980620 541225775 692768992 865961240 1082451550 1385537984 1731922480 2164903100 2771075968 3463844960 4329806200 5542151936 6927689920 8659612400 13855379840 17319224800 27710759680 34638449600 69276899200 138553798400