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4199054820 = 2235679471103
BaseRepresentation
bin1111101001001000…
…0111110111100100
3101211122021002022220
43322102013313210
532044424223240
61532400152340
7206025243222
oct37222076744
911748232286
104199054820
111865291044
129923086b0
1351bc3772c
142bb96bb12
151989945d0
hexfa487de4

4199054820 has 96 divisors (see below), whose sum is σ = 11956267008. Its totient is φ = 1100871552.

The previous prime is 4199054819. The next prime is 4199054833. The reversal of 4199054820 is 284509914.

It is a super-2 number, since 2×41990548202 = 35264122762730464800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3806389 + ... + 3807491.

It is an arithmetic number, because the mean of its divisors is an integer number (124544448).

Almost surely, 24199054820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199054820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978133504).

4199054820 is an abundant number, since it is smaller than the sum of its proper divisors (7757212188).

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

4199054820 is a wasteful number, since it uses less digits than its factorization.

4199054820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4199054820 is about 64800.1143517510. The cubic root of 4199054820 is about 1613.3076067470.

The spelling of 4199054820 in words is "four billion, one hundred ninety-nine million, fifty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 947 1005 1103 1340 1894 2010 2206 2841 3309 3788 4020 4412 4735 5515 5682 6618 9470 11030 11364 13236 14205 16545 18940 22060 28410 33090 56820 63449 66180 73901 126898 147802 190347 221703 253796 295604 317245 369505 380694 443406 634490 739010 761388 886812 951735 1044541 1108515 1268980 1478020 1903470 2089082 2217030 3133623 3806940 4178164 4434060 5222705 6267246 10445410 12534492 15668115 20890820 31336230 62672460 69984247 139968494 209952741 279936988 349921235 419905482 699842470 839810964 1049763705 1399684940 2099527410 4199054820