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5266909440 = 283351319617
BaseRepresentation
bin1001110011110111…
…01010100100000000
3111121001121201111000
410321323222210000
541241312100230
62230344052000
7244342664052
oct47173524400
914531551430
105266909440
112263040021
12102ba64000
1365c241a80
1437d6dd8d2
1520c5cab60
hex139eea900

5266909440 has 576 divisors, whose sum is σ = 21221625600. Its totient is φ = 1226244096.

The previous prime is 5266909423. The next prime is 5266909469. The reversal of 5266909440 is 449096625.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×52669094402 = 55480670098322227200, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8536012 + ... + 8536628.

It is an arithmetic number, because the mean of its divisors is an integer number (36843100).

Almost surely, 25266909440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5266909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10610812800).

5266909440 is an abundant number, since it is smaller than the sum of its proper divisors (15954716160).

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

5266909440 is a wasteful number, since it uses less digits than its factorization.

5266909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5266909440 is about 72573.4761465923. The cubic root of 5266909440 is about 1739.8772802867.

It can be divided in two parts, 526690 and 9440, that added together give a triangular number (536130 = T1035).

The spelling of 5266909440 in words is "five billion, two hundred sixty-six million, nine hundred nine thousand, four hundred forty".