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10353740540 = 225111318111999
BaseRepresentation
bin10011010010010000…
…11000101011111100
3222201120101111220212
421221020120223330
5132201024144130
64431220331552
7514401225323
oct115110305374
928646344825
1010353740540
114433464570
12200b543bb8
13c900830c0
147031250ba
15408e84e95
hex269218afc

10353740540 has 96 divisors (see below), whose sum is σ = 25570944000. Its totient is φ = 3471724800.

The previous prime is 10353740519. The next prime is 10353740549. The reversal of 10353740540 is 4504735301.

It is a junction number, because it is equal to n+sod(n) for n = 10353740497 and 10353740506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10353740549) 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, 5178461 + ... + 5180459.

It is an arithmetic number, because the mean of its divisors is an integer number (266364000).

Almost surely, 210353740540 is an apocalyptic number.

10353740540 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 10353740540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785472000).

10353740540 is an abundant number, since it is smaller than the sum of its proper divisors (15217203460).

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

10353740540 is a wasteful number, since it uses less digits than its factorization.

10353740540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 10353740540 in words is "ten billion, three hundred fifty-three million, seven hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1811 1999 2860 3622 3998 7244 7996 9055 9995 18110 19921 19990 21989 23543 25987 36220 39842 39980 43978 47086 51974 79684 87956 94172 99605 103948 109945 117715 129935 199210 219890 235430 258973 259870 285857 398420 439780 470860 517946 519740 571714 1035892 1143428 1294865 1429285 2589730 2858570 3620189 5179460 5717140 7240378 14480756 18100945 36201890 39822079 47062457 72403780 79644158 94124914 159288316 188249828 199110395 235312285 398220790 470624570 517687027 796441580 941249140 1035374054 2070748108 2588435135 5176870270 10353740540