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1016650101456 = 2432113373190283
BaseRepresentation
bin11101100101101010001…
…00010111001011010000
310121012011002112012211100
432302311010113023100
5113124044411221311
62055013111544400
7133310352164613
oct16626504271320
93535132465740
101016650101456
11362182529620
1214504a08b100
1374b3c93cc92
14372c588417a
151b6a3374a56
hexecb51172d0

1016650101456 has 120 divisors (see below), whose sum is σ = 3104800092576. Its totient is φ = 307982833920.

The previous prime is 1016650101427. The next prime is 1016650101461. The reversal of 1016650101456 is 6541010566101.

1016650101456 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 501 + 0 + 145 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1016650101456.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5247691 + ... + 5437973.

Almost surely, 21016650101456 is an apocalyptic number.

1016650101456 is a gapful number since it is divisible by the number (16) 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 1016650101456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552400046288).

1016650101456 is an abundant number, since it is smaller than the sum of its proper divisors (2088149991120).

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

1016650101456 is a wasteful number, since it uses less digits than its factorization.

1016650101456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193681 (or 193672 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 1016650101456 its reverse (6541010566101), we get a palindrome (7557660667557).

The spelling of 1016650101456 in words is "one trillion, sixteen billion, six hundred fifty million, one hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3373 6746 10119 13492 20238 26984 30357 37103 40476 53968 60714 74206 80952 111309 121428 148412 161904 190283 222618 242856 296824 333927 380566 445236 485712 570849 593648 667854 761132 890472 1141698 1335708 1522264 1712547 1780944 2093113 2283396 2671416 3044528 3425094 4186226 4566792 5342832 6279339 6850188 8372452 9133584 12558678 13700376 16744904 18838017 25117356 27400752 33489808 37676034 50234712 75352068 100469424 150704136 301408272 641824559 1283649118 1925473677 2567298236 3850947354 5134596472 5776421031 7060070149 7701894708 10269192944 11552842062 14120140298 15403789416 21180210447 23105684124 28240280596 30807578832 42360420894 46211368248 56480561192 63540631341 84720841788 92422736496 112961122384 127081262682 169441683576 254162525364 338883367152 508325050728 1016650101456