Search a number
-
+
55551974400 = 210325213171091
BaseRepresentation
bin110011101111001001…
…111101110000000000
312022101111211200201100
4303233021331300000
51402232301140100
641304211334400
74004425664016
oct635711756000
9168344750640
1055551974400
112161770664a
12a9242b1400
135314080690
14298dc368b6
1516a1ece400
hexcef27dc00

55551974400 has 792 divisors, whose sum is σ = 227010564144. Its totient is φ = 12858163200.

The previous prime is 55551974393. The next prime is 55551974431. The reversal of 55551974400 is 447915555.

It is a happy number.

55551974400 is a `hidden beast` number, since 5 + 5 + 55 + 197 + 4 + 400 = 666.

55551974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50917855 + ... + 50918945.

Almost surely, 255551974400 is an apocalyptic number.

55551974400 is a gapful number since it is divisible by the number (50) 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 55551974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113505282072).

55551974400 is an abundant number, since it is smaller than the sum of its proper divisors (171458589744).

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

55551974400 is a wasteful number, since it uses less digits than its factorization.

55551974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 55551974400 in words is "fifty-five billion, five hundred fifty-one million, nine hundred seventy-four thousand, four hundred".