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10495941456 = 24371113218447
BaseRepresentation
bin10011100011001101…
…10101101101010000
31000002110222001220110
421301212311231100
5132443430111311
64453300241320
7521046013260
oct116146655520
930073861813
1010495941456
1144a675a190
12204b0a0240
13cb3681160
14717d7d7a0
154166c38a6
hex2719b5b50

10495941456 has 160 divisors (see below), whose sum is σ = 36405669888. Its totient is φ = 2516497920.

The previous prime is 10495941451. The next prime is 10495941473. The reversal of 10495941456 is 65414959401.

10495941456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104959414562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10495941451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61176 + ... + 157271.

Almost surely, 210495941456 is an apocalyptic number.

10495941456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10495941456 is an abundant number, since it is smaller than the sum of its proper divisors (25909728432).

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

10495941456 is a wasteful number, since it uses less digits than its factorization.

10495941456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218489 (or 218483 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 10495941456 in words is "ten billion, four hundred ninety-five million, nine hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 218447 436894 655341 873788 1310682 1529129 1747576 2402917 2621364 2839811 3058258 3495152 4587387 4805834 5242728 5679622 6116516 7208751 8519433 9174774 9611668 10485456 11359244 12233032 14417502 16820419 17038866 18349548 19223336 19878677 22718488 24466064 28835004 31237921 33640838 34077732 36699096 38446672 39757354 45436976 50461257 57670008 59636031 62475842 67281676 68155464 73398192 79514708 93713763 100922514 115340016 119272062 124951684 134563352 136310928 159029416 187427526 201845028 218665447 238544124 249903368 269126704 318058832 374855052 403690056 437330894 477088248 499806736 655996341 749710104 807380112 874661788 954176496 1311992682 1499420208 1749323576 2623985364 3498647152 5247970728 10495941456