Search a number
-
+
516116505000 = 2335434407767
BaseRepresentation
bin1111000001010101111…
…00001110000110101000
31211100012001020222212010
413200222330032012220
531424001311130000
61033033423515520
752200563623365
oct7405274160650
91740161228763
10516116505000
1118997a348218
128403a458ba0
13398920a6175
141ada184146c
15d65a98dd50
hex782af0e1a8

516116505000 has 80 divisors (see below), whose sum is σ = 1612348008480. Its totient is φ = 137631064000.

The previous prime is 516116504977. The next prime is 516116505011. The reversal of 516116505000 is 505611615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17188884 + ... + 17218883.

It is an arithmetic number, because the mean of its divisors is an integer number (20154350106).

Almost surely, 2516116505000 is an apocalyptic number.

516116505000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516116505000 is an abundant number, since it is smaller than the sum of its proper divisors (1096231503480).

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

516116505000 is a wasteful number, since it uses less digits than its factorization.

516116505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34407796 (or 34407777 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 516116505000 in words is "five hundred sixteen billion, one hundred sixteen million, five hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 34407767 68815534 103223301 137631068 172038835 206446602 275262136 344077670 412893204 516116505 688155340 825786408 860194175 1032233010 1376310680 1720388350 2064466020 2580582525 3440776700 4128932040 4300970875 5161165050 6881553400 8601941750 10322330100 12902912625 17203883500 20644660200 21504854375 25805825250 34407767000 43009708750 51611650500 64514563125 86019417500 103223301000 129029126250 172038835000 258058252500 516116505000