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45212367424 = 267237972
BaseRepresentation
bin101010000110110111…
…011111101001000000
311022200221001020101211
4222012313133221000
51220043331224144
632434213535504
73160255532200
oct520667375100
9138627036354
1045212367424
11181a1225914
128919644594
134356c08743
14228c950400
1512993dc034
hexa86ddfa40

45212367424 has 63 divisors (see below), whose sum is σ = 104393669673. Its totient is φ = 19371625728.

The previous prime is 45212367371. The next prime is 45212367443. The reversal of 45212367424 is 42476321254.

The square root of 45212367424 is 212632.

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

45212367424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 593409600 + 44618957824 = 24360^2 + 211232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11905494 + ... + 11909290.

Almost surely, 245212367424 is an apocalyptic number.

45212367424 is the 212632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45212367424

45212367424 is an abundant number, since it is smaller than the sum of its proper divisors (59181302249).

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

45212367424 is an frugal number, since it uses more digits than its factorization.

45212367424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620 (or 3806 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

Adding to 45212367424 its reverse (42476321254), we get a palindrome (87688688678).

The spelling of 45212367424 in words is "forty-five billion, two hundred twelve million, three hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3797 7594 15188 26579 30376 53158 60752 106316 121504 186053 212632 243008 372106 425264 744212 850528 1488424 1701056 2976848 5953696 11907392 14417209 28834418 57668836 100920463 115337672 201840926 230675344 403681852 461350688 706443241 807363704 922701376 1412886482 1614727408 2825772964 3229454816 5651545928 6458909632 11303091856 22606183712 45212367424