Search a number
-
+
54138120976 = 24581692
BaseRepresentation
bin110010011010111000…
…100010101100010000
312011201222102111102201
4302122320202230100
51341333324332401
640512023452544
73624410302252
oct623270425420
9164658374381
1054138120976
1120a61615645
12a5aa8b7154
13514a191414
142898159cd2
15161cceeb01
hexc9ae22b10

54138120976 has 15 divisors (see below), whose sum is σ = 104894412661. Its totient is φ = 27068595136.

The previous prime is 54138120973. The next prime is 54138120979. The reversal of 54138120976 is 67902183145.

The square root of 54138120976 is 232676.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (54138120973) and next prime (54138120979).

It can be written as a sum of positive squares in only one way, i.e., 16097519376 + 38040601600 = 126876^2 + 195040^2 .

It is a super-2 number, since 2×541381209762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54138120973) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 901620 + ... + 959788.

It is a 1-persistent number, because it is pandigital, but 2⋅54138120976 = 108276241952 is not.

Almost surely, 254138120976 is an apocalyptic number.

54138120976 is the 232676-th square number.

It is an amenable number.

54138120976 is a deficient number, since it is larger than the sum of its proper divisors (50756291685).

54138120976 is an frugal number, since it uses more digits than its factorization.

54138120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116346 (or 58171 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 54138120976 in words is "fifty-four billion, one hundred thirty-eight million, one hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 58169 116338 232676 465352 930704 3383632561 6767265122 13534530244 27069060488 54138120976