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10263126256240 = 2451113897126421
BaseRepresentation
bin1001010101011001000111…
…1111101010101001110000
31100100010220220201000102011
42111112101333222221300
52321122340310144430
633454452021532304
72106325556540554
oct225262177525160
940303826630364
1010263126256240
1132a7627237920
121199090274094
13595a687c3830
14276a48d73864
1512be7a2ed22a
hex95591feaa70

10263126256240 has 80 divisors (see below), whose sum is σ = 28033406434656. Its totient is φ = 3444965452800.

The previous prime is 10263126256199. The next prime is 10263126256277. The reversal of 10263126256240 is 4265262136201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10263126256193 and 10263126256202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448551771 + ... + 448574650.

Almost surely, 210263126256240 is an apocalyptic number.

10263126256240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10263126256240 is an abundant number, since it is smaller than the sum of its proper divisors (17770280178416).

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

10263126256240 is a wasteful number, since it uses less digits than its factorization.

10263126256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897126458 (or 897126452 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 10263126256240 in words is "ten trillion, two hundred sixty-three billion, one hundred twenty-six million, two hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 897126421 1794252842 3588505684 4485632105 7177011368 8971264210 9868390631 11662643473 14354022736 17942528420 19736781262 23325286946 35885056840 39473562524 46650573892 49341953155 58313217365 71770113680 78947125048 93301147784 98683906310 116626434730 128289078203 157894250096 186602295568 197367812620 233252869460 256578156406 394735625240 466505738920 513156312812 641445391015 789471250480 933011477840 1026312625624 1282890782030 2052625251248 2565781564060 5131563128120 10263126256240