Search a number
-
+
1814934802016 = 25731743351773
BaseRepresentation
bin11010011010010010100…
…010110100111001100000
320102111122221000201100002
4122122102202310321200
5214213441302131031
63505434115315132
7245060530163630
oct32322242647140
96374587021302
101814934802016
1163a789420476
122538b5babaa8
131021bc41436b
1463bb40a06c0
1532325c8eccb
hex1a6928b4e60

1814934802016 has 96 divisors (see below), whose sum is σ = 4221017837568. Its totient is φ = 751722693120.

The previous prime is 1814934801971. The next prime is 1814934802033. The reversal of 1814934802016 is 6102084394181.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4983506 + ... + 5335278.

It is an arithmetic number, because the mean of its divisors is an integer number (43968935808).

Almost surely, 21814934802016 is an apocalyptic number.

1814934802016 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 1814934802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110508918784).

1814934802016 is an abundant number, since it is smaller than the sum of its proper divisors (2406083035552).

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

1814934802016 is a wasteful number, since it uses less digits than its factorization.

1814934802016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352564 (or 352556 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 1814934802016 in words is "one trillion, eight hundred fourteen billion, nine hundred thirty-four million, eight hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 743 868 992 1486 1736 2972 3472 5201 5944 6944 10402 11888 20804 23033 23776 41608 46066 83216 92132 161231 166432 184264 322462 351773 368528 644924 703546 737056 1289848 1407092 2462411 2579696 2814184 4924822 5159392 5628368 9849644 10904963 11256736 19699288 21809926 39398576 43619852 76334741 78797152 87239704 152669482 174479408 261367339 305338964 348958816 522734678 610677928 1045469356 1221355856 1829571373 2090938712 2442711712 3659142746 4181877424 7318285492 8102387509 8363754848 14636570984 16204775018 29273141968 32409550036 56716712563 58546283936 64819100072 113433425126 129638200144 226866850252 259276400288 453733700504 907467401008 1814934802016