Search a number
-
+
16311697620 = 22357137910103
BaseRepresentation
bin11110011000100000…
…01100000011010100
31120002210100002112220
433030100030003110
5231401243310440
611254332142340
71115135066511
oct171420140324
946083302486
1016311697620
116a10589939
1231b29079b0
1316cc51b4aa
14b0a50c308
156570658d0
hex3cc40c0d4

16311697620 has 96 divisors (see below), whose sum is σ = 46442833920. Its totient is φ = 4276782720.

The previous prime is 16311697613. The next prime is 16311697627. The reversal of 16311697620 is 2679611361.

It is an interprime number because it is at equal distance from previous prime (16311697613) and next prime (16311697627).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16311697627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609489 + ... + 1619591.

It is an arithmetic number, because the mean of its divisors is an integer number (483779520).

Almost surely, 216311697620 is an apocalyptic number.

16311697620 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 16311697620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221416960).

16311697620 is an abundant number, since it is smaller than the sum of its proper divisors (30131136300).

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

16311697620 is a wasteful number, since it uses less digits than its factorization.

16311697620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 16311697620 in words is "sixteen billion, three hundred eleven million, six hundred ninety-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 379 426 710 758 852 1065 1137 1420 1516 1895 2130 2274 3790 4260 4548 5685 7580 10103 11370 20206 22740 26909 30309 40412 50515 53818 60618 80727 101030 107636 121236 134545 151545 161454 202060 269090 303090 322908 403635 538180 606180 717313 807270 1434626 1614540 2151939 2869252 3586565 3829037 4303878 7173130 7658074 8607756 10759695 11487111 14346260 15316148 19145185 21519390 22974222 38290370 43038780 45948444 57435555 76580740 114871110 229742220 271861627 543723254 815584881 1087446508 1359308135 1631169762 2718616270 3262339524 4077924405 5437232540 8155848810 16311697620