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45151012400 = 2452138682887
BaseRepresentation
bin101010000011001101…
…011100011000110000
311022112122121002010112
4222003031130120300
51214432124344100
632424142520452
73155612162444
oct520315343060
9138478532115
1045151012400
111816a62998a
128900b96128
1343472a5ab0
14228473c824
151293d1cb35
hexa8335c630

45151012400 has 60 divisors (see below), whose sum is σ = 116819575152. Its totient is φ = 16671141120.

The previous prime is 45151012399. The next prime is 45151012409. The reversal of 45151012400 is 421015154.

It is a super-2 number, since 2×451510124002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45151012409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4336244 + ... + 4346643.

Almost surely, 245151012400 is an apocalyptic number.

45151012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45151012400 is an abundant number, since it is smaller than the sum of its proper divisors (71668562752).

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

45151012400 is a wasteful number, since it uses less digits than its factorization.

45151012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682918 (or 8682907 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 45151012400 its reverse (421015154), we get a palindrome (45572027554).

The spelling of 45151012400 in words is "forty-five billion, one hundred fifty-one million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 8682887 17365774 34731548 43414435 69463096 86828870 112877531 138926192 173657740 217072175 225755062 347315480 434144350 451510124 564387655 694630960 868288700 903020248 1128775310 1736577400 1806040496 2257550620 2821938275 3473154800 4515101240 5643876550 9030202480 11287753100 22575506200 45151012400