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137622172400 = 2452344055431
BaseRepresentation
bin1000000000101011101…
…0111011001011110000
3111011020010101201111022
42000022322323023300
54223322234004100
6143120040435012
712641256110216
oct2001272731360
9434203351438
10137622172400
1153402146069
1222809478a68
13cc9306a50b
146937900cb6
1538a70c9e85
hex200aebb2f0

137622172400 has 30 divisors (see below), whose sum is σ = 330637270152. Its totient is φ = 55048868800.

The previous prime is 137622172397. The next prime is 137622172421. The reversal of 137622172400 is 4271226731.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 172027316 + ... + 172028115.

Almost surely, 2137622172400 is an apocalyptic number.

137622172400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137622172400 is an abundant number, since it is smaller than the sum of its proper divisors (193015097752).

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

137622172400 is a wasteful number, since it uses less digits than its factorization.

137622172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344055449 (or 344055438 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 137622172400 in words is "one hundred thirty-seven billion, six hundred twenty-two million, one hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 344055431 688110862 1376221724 1720277155 2752443448 3440554310 5504886896 6881108620 8601385775 13762217240 17202771550 27524434480 34405543100 68811086200 137622172400