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10242480752 = 24723921601
BaseRepresentation
bin10011000100111111…
…11101101001110000
3222102211000221011222
421202133331221300
5131434033341002
64412203524212
7511550435630
oct114237755160
928384027158
1010242480752
114386682429
121b9a229668
13c72cc94ca
146d24426c0
153ee3091a2
hex2627fda70

10242480752 has 60 divisors (see below), whose sum is σ = 22789295856. Its totient is φ = 4368537600.

The previous prime is 10242480751. The next prime is 10242480763. The reversal of 10242480752 is 25708424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242480751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6396752 + ... + 6398352.

Almost surely, 210242480752 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 10242480752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394647928).

10242480752 is an abundant number, since it is smaller than the sum of its proper divisors (12546815104).

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

10242480752 is an equidigital number, since it uses as much as digits as its factorization.

10242480752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 10242480752 in words is "ten billion, two hundred forty-two million, four hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 956 1601 1673 1912 3202 3346 3824 6404 6692 11207 12808 13384 22414 25616 26768 44828 57121 89656 114242 179312 228484 382639 399847 456968 765278 799694 913936 1530556 1599388 2678473 3061112 3198776 5356946 6122224 6397552 10713892 21427784 42855568 91450721 182901442 365802884 640155047 731605768 1280310094 1463211536 2560620188 5121240376 10242480752