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10253532116040 = 2335557772719853
BaseRepresentation
bin1001010100110101011000…
…1000111011010001001000
31100022020011021122012021020
42111031112020323101020
52320443213210203130
633450224014112440
72105536040644413
oct225152610732110
940266137565236
1010253532116040
1132a3553630334
1211972531ab720
13594b99c19bb5
142763b8a9cb7a
1512bab7daee10
hex9535623b448

10253532116040 has 128 divisors (see below), whose sum is σ = 30821362306560. Its totient is φ = 2728875613184.

The previous prime is 10253532116033. The next prime is 10253532116053. The reversal of 10253532116040 is 4061123535201.

It is a junction number, because it is equal to n+sod(n) for n = 10253532115992 and 10253532116010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 516462754 + ... + 516482606.

It is an arithmetic number, because the mean of its divisors is an integer number (240791893020).

Almost surely, 210253532116040 is an apocalyptic number.

10253532116040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10253532116040 is an abundant number, since it is smaller than the sum of its proper divisors (20567830190520).

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

10253532116040 is a wasteful number, since it uses less digits than its factorization.

10253532116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28151 (or 28147 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10253532116040 in words is "ten trillion, two hundred fifty-three billion, five hundred thirty-two million, one hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 557 1114 1671 2228 2785 3342 4456 5570 6684 7727 8355 11140 13368 15454 16710 19853 22280 23181 30908 33420 38635 39706 46362 59559 61816 66840 77270 79412 92724 99265 115905 119118 154540 158824 185448 198530 231810 238236 297795 309080 397060 463620 476472 595590 794120 927240 1191180 2382360 4303939 8607878 11058121 12911817 17215756 21519695 22116242 25823634 33174363 34431512 43039390 44232484 51647268 55290605 64559085 66348726 86078780 88464968 103294536 110581210 129118170 132697452 153404131 165871815 172157560 221162420 258236340 265394904 306808262 331743630 442324840 460212393 516472680 613616524 663487260 767020655 920424786 1227233048 1326974520 1534041310 1840849572 2301061965 3068082620 3681699144 4602123930 6136165240 9204247860 18408495720 85446100967 170892201934 256338302901 341784403868 427230504835 512676605802 683568807736 854461009670 1025353211604 1281691514505 1708922019340 2050706423208 2563383029010 3417844038680 5126766058020 10253532116040