Search a number
-
+
252640126400 = 2652157900079
BaseRepresentation
bin1110101101001010000…
…1100110010111000000
3220011002220222011200112
43223102201212113000
513114401333021100
6312021122410452
724152441433164
oct3532241462700
9804086864615
10252640126400
11981648462a2
1240b68800a28
131aa9304106c
14c3292daca4
1568899c3b35
hex3ad28665c0

252640126400 has 42 divisors (see below), whose sum is σ = 621652614960. Its totient is φ = 101056049920.

The previous prime is 252640126399. The next prime is 252640126463. The reversal of 252640126400 is 4621046252.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 78948440 + ... + 78951639.

Almost surely, 2252640126400 is an apocalyptic number.

252640126400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252640126400 is an abundant number, since it is smaller than the sum of its proper divisors (369012488560).

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

252640126400 is a wasteful number, since it uses less digits than its factorization.

252640126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157900101 (or 157900086 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 252640126400 in words is "two hundred fifty-two billion, six hundred forty million, one hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 157900079 315800158 631600316 789500395 1263200632 1579000790 2526401264 3158001580 3947501975 5052802528 6316003160 7895003950 10105605056 12632006320 15790007900 25264012640 31580015800 50528025280 63160031600 126320063200 252640126400