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2148252504 = 23394612
BaseRepresentation
bin1000000000001011…
…1011101101011000
312112201022112102120
42000002323231120
513344423040004
6553100301240
7104143562556
oct20002735530
95481275376
102148252504
11a026a59a2
124bb541820
132830b3a38
1416544abd6
15c88e93d9
hex800bbb58

2148252504 has 24 divisors (see below), whose sum is σ = 5371198980. Its totient is φ = 716008480.

The previous prime is 2148252497. The next prime is 2148252571. The reversal of 2148252504 is 4052528412.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21482525042 = 9229977641884540032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222334 + ... + 231794.

Almost surely, 22148252504 is an apocalyptic number.

2148252504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148252504 is an abundant number, since it is smaller than the sum of its proper divisors (3222946476).

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

2148252504 is an frugal number, since it uses more digits than its factorization.

2148252504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18931 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 2148252504 is about 46349.2449129433. The cubic root of 2148252504 is about 1290.3131070989.

The spelling of 2148252504 in words is "two billion, one hundred forty-eight million, two hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 9461 18922 28383 37844 56766 75688 113532 227064 89510521 179021042 268531563 358042084 537063126 716084168 1074126252 2148252504