Search a number
-
+
47122734555400 = 23527435211502437
BaseRepresentation
bin10101011011011100111011…
…10110101010000100001000
320011211220000101121101222211
422231232131312222010020
522134024330021233100
6244115515125154504
712632335201603120
oct1255563566520410
9204756011541884
1047122734555400
1114018704195479
12535085055ba34
13203a8687a246a
14b8ca76cc3c80
1556ab854d01ba
hex2adb9ddaa108

47122734555400 has 192 divisors, whose sum is σ = 128369745060480. Its totient is φ = 15750337075200.

The previous prime is 47122734555397. The next prime is 47122734555461. The reversal of 47122734555400 is 455543722174.

It is a happy number.

47122734555400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×471227345554002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30612982 + ... + 32115418.

It is an arithmetic number, because the mean of its divisors is an integer number (668592422190).

Almost surely, 247122734555400 is an apocalyptic number.

47122734555400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47122734555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64184872530240).

47122734555400 is an abundant number, since it is smaller than the sum of its proper divisors (81247010505080).

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

47122734555400 is a wasteful number, since it uses less digits than its factorization.

47122734555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503024 (or 1503015 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 49.

The spelling of 47122734555400 in words is "forty-seven trillion, one hundred twenty-two billion, seven hundred thirty-four million, five hundred fifty-five thousand, four hundred".