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106011050256 = 24321493493093
BaseRepresentation
bin110001010111011000…
…0000100000100010000
3101010122002111100000200
41202232300010010100
53214102312102011
6120411212415200
710442024026236
oct1425660040420
9333562440020
10106011050256
1140a60524131
1218666a77500
139cc5c77107
1451b9508956
152b56d06856
hex18aec04110

106011050256 has 60 divisors (see below), whose sum is σ = 296883021708. Its totient is φ = 35313276672.

The previous prime is 106011050251. The next prime is 106011050273. The reversal of 106011050256 is 652050110601.

It is a happy number.

106011050256 is a `hidden beast` number, since 1 + 0 + 601 + 1 + 0 + 5 + 0 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101559491856 + 4451558400 = 318684^2 + 66720^2 .

It is a super-2 number, since 2×1060110502562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011050251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31555 + ... + 461538.

Almost surely, 2106011050256 is an apocalyptic number.

106011050256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106011050256 is an abundant number, since it is smaller than the sum of its proper divisors (190871971452).

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

106011050256 is a wasteful number, since it uses less digits than its factorization.

106011050256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494600 (or 494591 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 106011050256 its reverse (652050110601), we get a palindrome (758061160857).

The spelling of 106011050256 in words is "one hundred six billion, eleven million, fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1493 2986 4479 5972 8958 11944 13437 17916 23888 26874 35832 53748 71664 107496 214992 493093 986186 1479279 1972372 2958558 3944744 4437837 5917116 7889488 8875674 11834232 17751348 23668464 35502696 71005392 736187849 1472375698 2208563547 2944751396 4417127094 5889502792 6625690641 8834254188 11779005584 13251381282 17668508376 26502762564 35337016752 53005525128 106011050256