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16767672420 = 2235412166247
BaseRepresentation
bin11111001110110111…
…00110000001100100
31121021120100000101110
433213123212001210
5233320011004140
611411501225020
71132342602222
oct174733460144
947246300343
1016767672420
117124a06514
1232bb562170
131772b2a875
14b50cc3b12
156820d4380
hex3e76e6064

16767672420 has 72 divisors (see below), whose sum is σ = 48122811072. Its totient is φ = 4362295040.

The previous prime is 16767672419. The next prime is 16767672421. The reversal of 16767672420 is 2427676761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16767672419) and next prime (16767672421).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16767672420.

It is not an unprimeable number, because it can be changed into a prime (16767672421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17737 + ... + 183983.

It is an arithmetic number, because the mean of its divisors is an integer number (668372376).

Almost surely, 216767672420 is an apocalyptic number.

16767672420 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 16767672420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24061405536).

16767672420 is an abundant number, since it is smaller than the sum of its proper divisors (31355138652).

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

16767672420 is a wasteful number, since it uses less digits than its factorization.

16767672420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166341 (or 166298 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 16767672420 in words is "sixteen billion, seven hundred sixty-seven million, six hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1681 2460 3362 5043 6724 8405 10086 16810 20172 25215 33620 50430 100860 166247 332494 498741 664988 831235 997482 1662470 1994964 2493705 3324940 4987410 6816127 9974820 13632254 20448381 27264508 34080635 40896762 68161270 81793524 102241905 136322540 204483810 279461207 408967620 558922414 838383621 1117844828 1397306035 1676767242 2794612070 3353534484 4191918105 5589224140 8383836210 16767672420