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10478949072 = 243717873907
BaseRepresentation
bin10011100001001100…
…00001001011010000
31000001021222202201220
421300212001023100
5132430102332242
64451452125040
7520451411634
oct116046011320
930037882656
1010478949072
114498103599
122045466780
13caccb19a7
147159d8dc4
15414e68bec
hex2709812d0

10478949072 has 80 divisors (see below), whose sum is σ = 27493811712. Its totient is φ = 3438529920.

The previous prime is 10478949067. The next prime is 10478949077. The reversal of 10478949072 is 27094987401.

It is an interprime number because it is at equal distance from previous prime (10478949067) and next prime (10478949077).

It is a super-2 number, since 2×104789490722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10478949077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2680143 + ... + 2684049.

Almost surely, 210478949072 is an apocalyptic number.

10478949072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10478949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746905856).

10478949072 is an abundant number, since it is smaller than the sum of its proper divisors (17014862640).

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

10478949072 is a wasteful number, since it uses less digits than its factorization.

10478949072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 10478949072 in words is "ten billion, four hundred seventy-eight million, nine hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 787 852 1136 1574 1704 2361 3148 3408 3907 4722 6296 7814 9444 11721 12592 15628 18888 23442 31256 37776 46884 55877 62512 93768 111754 167631 187536 223508 277397 335262 447016 554794 670524 832191 894032 1109588 1341048 1664382 2219176 2682096 3074809 3328764 4438352 6149618 6657528 9224427 12299236 13315056 18448854 24598472 36897708 49196944 73795416 147590832 218311439 436622878 654934317 873245756 1309868634 1746491512 2619737268 3492983024 5239474536 10478949072