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11406708500 = 2253114674441
BaseRepresentation
bin10101001111110010…
…01000111100010100
31002102221201211102012
422213321020330110
5141330104133000
65123513203352
7552445264625
oct124771107424
932387654365
1011406708500
114923875a20
122264100558
1310ca277575
147a2cdda4c
1546b62a735
hex2a7e48f14

11406708500 has 96 divisors (see below), whose sum is σ = 27241329024. Its totient is φ = 4138080000.

The previous prime is 11406708497. The next prime is 11406708587. The reversal of 11406708500 is 580760411.

It is a happy number.

11406708500 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 2×114067085002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2566280 + ... + 2570720.

It is an arithmetic number, because the mean of its divisors is an integer number (283763844).

Almost surely, 211406708500 is an apocalyptic number.

11406708500 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 11406708500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620664512).

11406708500 is an abundant number, since it is smaller than the sum of its proper divisors (15834620524).

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

11406708500 is a wasteful number, since it uses less digits than its factorization.

11406708500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 11406708500 in words is "eleven billion, four hundred six million, seven hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 467 500 550 934 1100 1375 1868 2335 2750 4441 4670 5137 5500 8882 9340 10274 11675 17764 20548 22205 23350 25685 44410 46700 48851 51370 58375 88820 97702 102740 111025 116750 128425 195404 222050 233500 244255 256850 444100 488510 513700 555125 642125 977020 1110250 1221275 1284250 2073947 2220500 2442550 2568500 4147894 4885100 6106375 8295788 10369735 12212750 20739470 22813417 24425500 41478940 45626834 51848675 91253668 103697350 114067085 207394700 228134170 259243375 456268340 518486750 570335425 1036973500 1140670850 2281341700 2851677125 5703354250 11406708500