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10146478940 = 22513307317401
BaseRepresentation
bin10010111001100011…
…01111101101011100
3222012010101112110022
421130301233231130
5131234444311230
64354454131312
7506303435153
oct113461575534
928163345408
1010146478940
114337471894
121b72050b38
13c591557c0
146c37b259a
153e5b941e5
hex25cc6fb5c

10146478940 has 96 divisors (see below), whose sum is σ = 23151610944. Its totient is φ = 3713126400.

The previous prime is 10146478919. The next prime is 10146478943. The reversal of 10146478940 is 4987464101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10146478891 and 10146478900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146478943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25302740 + ... + 25303140.

It is an arithmetic number, because the mean of its divisors is an integer number (241162614).

Almost surely, 210146478940 is an apocalyptic number.

10146478940 is a gapful number since it is divisible by the number (10) 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 10146478940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575805472).

10146478940 is an abundant number, since it is smaller than the sum of its proper divisors (13005132004).

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

10146478940 is a wasteful number, since it uses less digits than its factorization.

10146478940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10146478940 in words is "ten billion, one hundred forty-six million, four hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 317 401 614 634 802 1228 1268 1535 1585 1604 2005 3070 3170 3991 4010 4121 5213 6140 6340 7982 8020 8242 10426 15964 16484 19955 20605 20852 26065 39910 41210 52130 79820 82420 97319 104260 123107 127117 194638 246214 254234 389276 486595 492428 508468 615535 635585 973190 1231070 1265147 1271170 1600391 1652521 1946380 2462140 2530294 2542340 3200782 3305042 5060588 6325735 6401564 6610084 8001955 8262605 12651470 16003910 16525210 25302940 32007820 33050420 39024919 78049838 156099676 195124595 390249190 507323947 780498380 1014647894 2029295788 2536619735 5073239470 10146478940