Search a number
-
+
746867300928 = 26371983352381
BaseRepresentation
bin10101101111001001100…
…00101001101001000000
32122101210110120222010020
422313210300221221000
544214041012112203
61331034530133440
7104650032211560
oct12674460515100
92571713528106
10746867300928
11268821136551
121008b8421280
13555771a3278
1428211968da0
15146638e5153
hexade4c29a40

746867300928 has 224 divisors, whose sum is σ = 2405895152640. Its totient is φ = 199723345920.

The previous prime is 746867300831. The next prime is 746867300989. The reversal of 746867300928 is 829003768647.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7468673009282 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943298 + ... + 2295678.

It is an arithmetic number, because the mean of its divisors is an integer number (10740603360).

Almost surely, 2746867300928 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 746867300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947576320).

746867300928 is an abundant number, since it is smaller than the sum of its proper divisors (1659027851712).

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

746867300928 is a wasteful number, since it uses less digits than its factorization.

746867300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352505 (or 352495 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 746867300928 in words is "seven hundred forty-six billion, eight hundred sixty-seven million, three hundred thousand, nine hundred twenty-eight".