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10745723540 = 2251973378093
BaseRepresentation
bin10100000000111111…
…01011101010010100
31000201212222022111202
422000133223222110
5134001401123130
64534142052032
7530201100026
oct120037535224
930655868452
1010745723540
114614754162
1220ba87a018
1310233485c6
1473d200016
1542d5b3145
hex2807eba94

10745723540 has 48 divisors (see below), whose sum is σ = 22750679952. Its totient is φ = 4263254016.

The previous prime is 10745723537. The next prime is 10745723609. The reversal of 10745723540 is 4532754701.

It can be written as a sum of positive squares in 8 ways, for example, as 106213636 + 10639509904 = 10306^2 + 103148^2 .

It is a super-2 number, since 2×107457235402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10745723494 and 10745723503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323734 + ... + 1331826.

It is an arithmetic number, because the mean of its divisors is an integer number (473972499).

Almost surely, 210745723540 is an apocalyptic number.

10745723540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10745723540 is an abundant number, since it is smaller than the sum of its proper divisors (12004956412).

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

10745723540 is a wasteful number, since it uses less digits than its factorization.

10745723540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 10745723540 in words is "ten billion, seven hundred forty-five million, seven hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 197 337 394 674 788 985 1348 1685 1970 3370 3940 6740 8093 16186 32372 40465 66389 80930 132778 161860 265556 331945 663890 1327780 1594321 2727341 3188642 5454682 6377284 7971605 10909364 13636705 15943210 27273410 31886420 54546820 537286177 1074572354 2149144708 2686430885 5372861770 10745723540