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2648139480 = 233457591979
BaseRepresentation
bin1001110111010111…
…0110011011011000
320211112221102110000
42131311312123120
520410410430410
61114434453000
7122423546160
oct23565663330
96745842400
102648139480
111139895428
1261aa34160
1333282954c
141b19b35a0
1510773ddc0
hex9dd766d8

2648139480 has 320 divisors, whose sum is σ = 10349856000. Its totient is φ = 594729216.

The previous prime is 2648139467. The next prime is 2648139493. The reversal of 2648139480 is 849318462.

It is a happy number.

2648139480 is a `hidden beast` number, since 2 + 6 + 481 + 3 + 94 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2648139467) and next prime (2648139493).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1337131 + ... + 1339109.

It is an arithmetic number, because the mean of its divisors is an integer number (32343300).

Almost surely, 22648139480 is an apocalyptic number.

2648139480 is a gapful number since it is divisible by the number (20) 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 2648139480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174928000).

2648139480 is an abundant number, since it is smaller than the sum of its proper divisors (7701716520).

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

2648139480 is a wasteful number, since it uses less digits than its factorization.

2648139480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2648139480 is about 51460.0765642648. The cubic root of 2648139480 is about 1383.5035738937.

The spelling of 2648139480 in words is "two billion, six hundred forty-eight million, one hundred thirty-nine thousand, four hundred eighty".